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981400028 = 227273113607
BaseRepresentation
bin111010011111101…
…111100111011100
32112101200021202012
4322133233213130
54002214300103
6241214450352
733214522400
oct7237574734
92471607665
10981400028
11463a7a404
122348039b8
1312842709b
14944a9100
155b25a2d8
hex3a7ef9dc

981400028 has 72 divisors (see below), whose sum is σ = 2046506112. Its totient is φ = 410489856.

The previous prime is 981400003. The next prime is 981400037. The reversal of 981400028 is 820004189.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 981399967 and 981400003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1616501 + ... + 1617107.

It is an arithmetic number, because the mean of its divisors is an integer number (28423696).

Almost surely, 2981400028 is an apocalyptic number.

981400028 is a gapful number since it is divisible by the number (98) 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 981400028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023253056).

981400028 is an abundant number, since it is smaller than the sum of its proper divisors (1065106084).

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

981400028 is a wasteful number, since it uses less digits than its factorization.

981400028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 981400028 is about 31327.3048314087. The cubic root of 981400028 is about 993.7611672439.

The spelling of 981400028 in words is "nine hundred eighty-one million, four hundred thousand, twenty-eight".

Divisors: 1 2 4 7 14 28 49 73 98 113 146 196 226 292 452 511 607 791 1022 1214 1582 2044 2428 3164 3577 4249 5537 7154 8249 8498 11074 14308 16498 16996 22148 29743 32996 44311 57743 59486 68591 88622 115486 118972 137182 177244 230972 274364 310177 404201 480137 620354 808402 960274 1240708 1616804 1920548 2171239 3360959 4342478 5007143 6721918 8684956 10014286 13443836 20028572 35050001 70100002 140200004 245350007 490700014 981400028