51028200 has 72 divisors (see below), whose sum is σ = 171375750. Its totient is φ = 13607040.

The previous prime is 51028183. The next prime is 51028213. The reversal of 51028200 is 282015.

It can be written as a sum of positive squares in 3 ways, for example, as 23213124 + 27815076 = 4818^2 + 5274^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 12375 + ... + 15974.

Almost surely, 2^51028200 is an apocalyptic number.

51028200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51028200 is an abundant number, since it is smaller than the sum of its proper divisors (120347550).

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

51028200 is a wasteful number, since it uses less digits than its factorization.

51028200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28371 (or 28359 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 51028200 is about 7143.4025506057. The cubic root of 51028200 is about 370.9113157830.

The spelling of 51028200 in words is "fifty-one million, twenty-eight thousand, two hundred".