28915200 has 180 divisors, whose sum is σ = 103891788. Its totient is φ = 7680000.

The previous prime is 28915177. The next prime is 28915213. The reversal of 28915200 is 251982.

28915200 = T₃₄₉ + T₃₅₀ + ... + T₅₉₉.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115075 + ... + 115325.

Almost surely, 2^28915200 is an apocalyptic number.

28915200 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 28915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51945894).

28915200 is an abundant number, since it is smaller than the sum of its proper divisors (74976588).

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

28915200 is a wasteful number, since it uses less digits than its factorization.

28915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 28915200 is about 5377.2855605779. The cubic root of 28915200 is about 306.9319275980.

The spelling of 28915200 in words is "twenty-eight million, nine hundred fifteen thousand, two hundred".