28326156566400 has 4608 divisors, whose sum is σ = 137402691379200. Its totient is φ = 5380743168000.

The previous prime is 28326156566359. The next prime is 28326156566417. The reversal of 28326156566400 is 466565162382.

28326156566400 is a `hidden beast` number, since 2 + 8 + 3 + 26 + 1 + 56 + 566 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×28326156566400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 264730435147 + ... + 264730435253.

It is an arithmetic number, because the mean of its divisors is an integer number (29818292400).

Almost surely, 2^{28326156566400} is an apocalyptic number.

28326156566400 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 28326156566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68701345689600).

28326156566400 is an abundant number, since it is smaller than the sum of its proper divisors (109076534812800).

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

28326156566400 is a wasteful number, since it uses less digits than its factorization.

28326156566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 28326156566400 in words is "twenty-eight trillion, three hundred twenty-six billion, one hundred fifty-six million, five hundred sixty-six thousand, four hundred".