28654990617600 has 528 divisors, whose sum is σ = 105412991604000. Its totient is φ = 7627981455360.

The previous prime is 28654990617557. The next prime is 28654990617629. The reversal of 28654990617600 is 671609945682.

28654990617600 is a `hidden beast` number, since 2 + 8 + 6 + 5 + 4 + 9 + 9 + 0 + 6 + 17 + 600 = 666.

It is a super-2 number, since 2×28654990617600² (a number of 28 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 398786476 + ... + 398858324.

Almost surely, 2^{28654990617600} is an apocalyptic number.

28654990617600 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 28654990617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52706495802000).

28654990617600 is an abundant number, since it is smaller than the sum of its proper divisors (76758000986400).

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

28654990617600 is a wasteful number, since it uses less digits than its factorization.

28654990617600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72465 (or 72436 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 28654990617600 in words is "twenty-eight trillion, six hundred fifty-four billion, nine hundred ninety million, six hundred seventeen thousand, six hundred".