28459200 has 378 divisors, whose sum is σ = 119385588. Its totient is φ = 5913600.

The previous prime is 28459199. The next prime is 28459229. The reversal of 28459200 is 295482.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2587195 + ... + 2587205.

Almost surely, 2^28459200 is an apocalyptic number.

28459200 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 28459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59692794).

28459200 is an abundant number, since it is smaller than the sum of its proper divisors (90926388).

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

28459200 is a wasteful number, since it uses less digits than its factorization.

28459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 28459200 is about 5334.7164873121. The cubic root of 28459200 is about 305.3099062686.

The spelling of 28459200 in words is "twenty-eight million, four hundred fifty-nine thousand, two hundred".