28492800 has 264 divisors, whose sum is σ = 109653696. Its totient is φ = 6389760.

The previous prime is 28492777. The next prime is 28492817. The reversal of 28492800 is 829482.

It is a congruent number.

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, 537574 + ... + 537626.

Almost surely, 2^28492800 is an apocalyptic number.

28492800 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 28492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54826848).

28492800 is an abundant number, since it is smaller than the sum of its proper divisors (81160896).

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

28492800 is a wasteful number, since it uses less digits than its factorization.

28492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 28492800 is about 5337.8647416359. The cubic root of 28492800 is about 305.4300124597.

It can be divided in two parts, 28492 and 800, that added together give a palindrome (29292).

The spelling of 28492800 in words is "twenty-eight million, four hundred ninety-two thousand, eight hundred".