28857394075104 has 432 divisors, whose sum is σ = 100189737019008. Its totient is φ = 8145623824128.

The previous prime is 28857394075087. The next prime is 28857394075123. The reversal of 28857394075104 is 40157049375882.

28857394075104 is a `hidden beast` number, since 2 + 8 + 8 + 5 + 73 + 9 + 40 + 7 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×28857394075104² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31168749 + ... + 32081235.

It is an arithmetic number, because the mean of its divisors is an integer number (231920687544).

Almost surely, 2^{28857394075104} is an apocalyptic number.

28857394075104 is a gapful number since it is divisible by the number (24) 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 28857394075104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50094868509504).

28857394075104 is an abundant number, since it is smaller than the sum of its proper divisors (71332342943904).

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

28857394075104 is an equidigital number, since it uses as much as digits as its factorization.

28857394075104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912609 (or 912582 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 28857394075104 in words is "twenty-eight trillion, eight hundred fifty-seven billion, three hundred ninety-four million, seventy-five thousand, one hundred four".