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28797534720 = 293451131229
BaseRepresentation
bin11010110100011101…
…111000001000000000
32202022221122100010000
4122310131320020000
5432434132102340
621121315040000
72036426002113
oct326435701000
982287570100
1028797534720
1111238504079
1256b82a0000
13293c219796
14157287657a
15b382a2d30
hex6b4778200

28797534720 has 400 divisors, whose sum is σ = 104141113560. Its totient is φ = 7605190656.

The previous prime is 28797534709. The next prime is 28797534739. The reversal of 28797534720 is 2743579782.

28797534720 is a `hidden beast` number, since 2 + 87 + 9 + 7 + 534 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23255030016 + 5542504704 = 152496^2 + 74448^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23431066 + ... + 23432294.

Almost surely, 228797534720 is an apocalyptic number.

28797534720 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 28797534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52070556780).

28797534720 is an abundant number, since it is smaller than the sum of its proper divisors (75343578840).

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

28797534720 is a wasteful number, since it uses less digits than its factorization.

28797534720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 28797534720 in words is "twenty-eight billion, seven hundred ninety-seven million, five hundred thirty-four thousand, seven hundred twenty".