28755657216 has 720 divisors, whose sum is σ = 104258202048. Its totient is φ = 7520256000.

The previous prime is 28755657173. The next prime is 28755657277. The reversal of 28755657216 is 61275655782.

28755657216 is a `hidden beast` number, since 2 + 8 + 7 + 5 + 56 + 572 + 16 = 666.

It is a super-3 number, since 3×28755657216³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 190434741 + ... + 190434891.

Almost surely, 2^28755657216 is an apocalyptic number.

28755657216 is a gapful number since it is divisible by the number (26) 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 28755657216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52129101024).

28755657216 is an abundant number, since it is smaller than the sum of its proper divisors (75502544832).

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

28755657216 is a wasteful number, since it uses less digits than its factorization.

28755657216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 197 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The spelling of 28755657216 in words is "twenty-eight billion, seven hundred fifty-five million, six hundred fifty-seven thousand, two hundred sixteen".