28940800 has 240 divisors, whose sum is σ = 91333440. Its totient is φ = 8847360.

The previous prime is 28940797. The next prime is 28940881. The reversal of 28940800 is 804982.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1523191 + ... + 1523209.

It is an arithmetic number, because the mean of its divisors is an integer number (380556).

Almost surely, 2^28940800 is an apocalyptic number.

28940800 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 28940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45666720).

28940800 is an abundant number, since it is smaller than the sum of its proper divisors (62392640).

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

28940800 is a wasteful number, since it uses less digits than its factorization.

28940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 28940800 is about 5379.6654171054. The cubic root of 28940800 is about 307.0224813508.

The spelling of 28940800 in words is "twenty-eight million, nine hundred forty thousand, eight hundred".