28902652800 has 384 divisors, whose sum is σ = 112557081600. Its totient is φ = 6378086400.

The previous prime is 28902652787. The next prime is 28902652813. The reversal of 28902652800 is 825620982.

It is an interprime number because it is at equal distance from previous prime (28902652787) and next prime (28902652813).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1941385 + ... + 1956215.

It is an arithmetic number, because the mean of its divisors is an integer number (293117400).

Almost surely, 2^28902652800 is an apocalyptic number.

28902652800 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 28902652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56278540800).

28902652800 is an abundant number, since it is smaller than the sum of its proper divisors (83654428800).

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

28902652800 is a wasteful number, since it uses less digits than its factorization.

28902652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14894 (or 14877 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 28902652800 in words is "twenty-eight billion, nine hundred two million, six hundred fifty-two thousand, eight hundred".