28722822868800 has 672 divisors, whose sum is σ = 109483925913600. Its totient is φ = 7311234078720.

The previous prime is 28722822868783. The next prime is 28722822868843. The reversal of 28722822868800 is 886822822782.

28722822868800 is a `hidden beast` number, since 2 + 8 + 72 + 282 + 286 + 8 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 483853521 + ... + 483912879.

It is an arithmetic number, because the mean of its divisors is an integer number (162922508800).

Almost surely, 2^{28722822868800} is an apocalyptic number.

28722822868800 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 28722822868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54741962956800).

28722822868800 is an abundant number, since it is smaller than the sum of its proper divisors (80761103044800).

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

28722822868800 is a wasteful number, since it uses less digits than its factorization.

28722822868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59900 (or 59879 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 63.

The spelling of 28722822868800 in words is "twenty-eight trillion, seven hundred twenty-two billion, eight hundred twenty-two million, eight hundred sixty-eight thousand, eight hundred".