28840024400 has 240 divisors, whose sum is σ = 79211001600. Its totient is φ = 9993984000.

The previous prime is 28840024393. The next prime is 28840024469. The reversal of 28840024400 is 442004882.

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, 10078970 + ... + 10081830.

It is an arithmetic number, because the mean of its divisors is an integer number (330045840).

Almost surely, 2^28840024400 is an apocalyptic number.

28840024400 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 28840024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39605500800).

28840024400 is an abundant number, since it is smaller than the sum of its proper divisors (50370977200).

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

28840024400 is a wasteful number, since it uses less digits than its factorization.

28840024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 28840024400 in words is "twenty-eight billion, eight hundred forty million, twenty-four thousand, four hundred".