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28723445001400 = 23527118061111997
BaseRepresentation
bin1101000011111101100101…
…01111000110110010111000
310202200221020021020210000011
412201332302233012302320
512231101103410021100
6141031211331151304
76023125513054342
oct641766257066270
9122627207223004
1028723445001400
1191745a9980486
12327a967745534
1313047bc670706
1471431784a292
1534c2692b5bba
hex1a1fb2bc6cb8

28723445001400 has 96 divisors (see below), whose sum is σ = 67726955688480. Its totient is φ = 11326827456000.

The previous prime is 28723445001353. The next prime is 28723445001401. The reversal of 28723445001400 is 410054432782.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28723445001401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256410202 + ... + 256522198.

It is an arithmetic number, because the mean of its divisors is an integer number (705489121755).

Almost surely, 228723445001400 is an apocalyptic number.

28723445001400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28723445001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33863477844240).

28723445001400 is an abundant number, since it is smaller than the sum of its proper divisors (39003510687080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28723445001400 is a wasteful number, since it uses less digits than its factorization.

28723445001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130145 (or 130136 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 28723445001400 in words is "twenty-eight trillion, seven hundred twenty-three billion, four hundred forty-five million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 2840 3550 7100 14200 18061 36122 72244 90305 111997 144488 180610 223994 361220 447988 451525 559985 722440 895976 903050 1119970 1282331 1806100 2239940 2564662 2799925 3612200 4479880 5129324 5599850 6411655 7951787 10258648 11199700 12823310 15903574 22399400 25646620 31807148 32058275 39758935 51293240 63614296 64116550 79517870 128233100 159035740 198794675 256466200 318071480 397589350 795178700 1590357400 2022777817 4045555634 8091111268 10113889085 16182222536 20227778170 40455556340 50569445425 80911112680 101138890850 143617225007 202277781700 287234450014 404555563400 574468900028 718086125035 1148937800056 1436172250070 2872344500140 3590430625175 5744689000280 7180861250350 14361722500700 28723445001400