28522628366400 has 1680 divisors, whose sum is σ = 126186093454080. Its totient is φ = 6178299494400.

The previous prime is 28522628366381. The next prime is 28522628366413. The reversal of 28522628366400 is 466382622582.

It is a happy number.

28522628366400 is a `hidden beast` number, since 2 + 8 + 5 + 2 + 2 + 628 + 3 + 6 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

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 239 ways as a sum of consecutive naturals, for example, 2274344130 + ... + 2274356670.

Almost surely, 2^{28522628366400} is an apocalyptic number.

28522628366400 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 28522628366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63093046727040).

28522628366400 is an abundant number, since it is smaller than the sum of its proper divisors (97663465087680).

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

28522628366400 is a wasteful number, since it uses less digits than its factorization.

28522628366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12714 (or 12690 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 28522628366400 in words is "twenty-eight trillion, five hundred twenty-two billion, six hundred twenty-eight million, three hundred sixty-six thousand, four hundred".