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28851200448 = 2637137156691
BaseRepresentation
bin11010110111101010…
…100110000111000000
32202110200121211122120
4122313222212013000
5433041401403243
621130513204240
72040650105010
oct326752460700
982420554576
1028851200448
1111265828a14
125712260680
13294a389555
141579a45c40
15b3cd53c83
hex6b7aa61c0

28851200448 has 112 divisors (see below), whose sum is σ = 87877887744. Its totient is φ = 8182978560.

The previous prime is 28851200431. The next prime is 28851200459. The reversal of 28851200448 is 84400215882.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105783 + ... + 262473.

Almost surely, 228851200448 is an apocalyptic number.

28851200448 is a gapful number since it is divisible by the number (28) 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 28851200448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43938943872).

28851200448 is an abundant number, since it is smaller than the sum of its proper divisors (59026687296).

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

28851200448 is a wasteful number, since it uses less digits than its factorization.

28851200448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156850 (or 156840 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The spelling of 28851200448 in words is "twenty-eight billion, eight hundred fifty-one million, two hundred thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 137 168 192 224 274 336 411 448 548 672 822 959 1096 1344 1644 1918 2192 2877 3288 3836 4384 5754 6576 7672 8768 11508 13152 15344 23016 26304 30688 46032 61376 92064 156691 184128 313382 470073 626764 940146 1096837 1253528 1880292 2193674 2507056 3290511 3760584 4387348 5014112 6581022 7521168 8774696 10028224 13162044 15042336 17549392 21466667 26324088 30084672 35098784 42933334 52648176 64400001 70197568 85866668 105296352 128800002 150266669 171733336 210592704 257600004 300533338 343466672 450800007 515200008 601066676 686933344 901600014 1030400016 1202133352 1373866688 1803200028 2060800032 2404266704 3606400056 4121600064 4808533408 7212800112 9617066816 14425600224 28851200448