28902188620800 has 2112 divisors, whose sum is σ = 124939421222400. Its totient is φ = 6468481843200.

The previous prime is 28902188620771. The next prime is 28902188620829. The reversal of 28902188620800 is 802688120982.

It is a happy number.

28902188620800 is a `hidden beast` number, since 2 + 8 + 9 + 0 + 2 + 1 + 8 + 8 + 620 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28902188620771) and next prime (28902188620829).

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6850481091 + ... + 6850485309.

Almost surely, 2^{28902188620800} is an apocalyptic number.

28902188620800 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 28902188620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62469710611200).

28902188620800 is an abundant number, since it is smaller than the sum of its proper divisors (96037232601600).

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

28902188620800 is a wasteful number, since it uses less digits than its factorization.

28902188620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4339 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 28902188620800 in words is "twenty-eight trillion, nine hundred two billion, one hundred eighty-eight million, six hundred twenty thousand, eight hundred".