28900828800 has 288 divisors, whose sum is σ = 106454674560. Its totient is φ = 7458048000.

The previous prime is 28900828799. The next prime is 28900828823. The reversal of 28900828800 is 882800982.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 876615 + ... + 908985.

Almost surely, 2^28900828800 is an apocalyptic number.

28900828800 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 28900828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53227337280).

28900828800 is an abundant number, since it is smaller than the sum of its proper divisors (77553845760).

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

28900828800 is a wasteful number, since it uses less digits than its factorization.

28900828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32432 (or 32412 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 28900828800 in words is "twenty-eight billion, nine hundred million, eight hundred twenty-eight thousand, eight hundred".