51512328 has 192 divisors, whose sum is σ = 172915200. Its totient is φ = 14152320.

The previous prime is 51512299. The next prime is 51512333. The reversal of 51512328 is 82321515.

It is a happy number.

51512328 is a `hidden beast` number, since 515 + 123 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2400) is a multiple of the sum of its prime divisors (200).

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, 328026 + ... + 328182.

It is an arithmetic number, because the mean of its divisors is an integer number (900600).

Almost surely, 2^51512328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51512328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86457600).

51512328 is an abundant number, since it is smaller than the sum of its proper divisors (121402872).

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

51512328 is a wasteful number, since it uses less digits than its factorization.

51512328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 51512328 is about 7177.2089282673. The cubic root of 51512328 is about 372.0806276847.

The spelling of 51512328 in words is "fifty-one million, five hundred twelve thousand, three hundred twenty-eight".