51590628 has 96 divisors (see below), whose sum is σ = 139991040. Its totient is φ = 16416000.

The previous prime is 51590621. The next prime is 51590639. The reversal of 51590628 is 82609515.

It is a happy number.

51590628 is a `hidden beast` number, since 5 + 1 + 590 + 62 + 8 = 666.

51590628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51590592 and 51590601.

It is not an unprimeable number, because it can be changed into a prime (51590621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270013 + ... + 270203.

It is an arithmetic number, because the mean of its divisors is an integer number (1458240).

Almost surely, 2^51590628 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 51590628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

51590628 is an abundant number, since it is smaller than the sum of its proper divisors (88400412).

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

51590628 is a wasteful number, since it uses less digits than its factorization.

51590628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 51590628 is about 7182.6616236601. The cubic root of 51590628 is about 372.2690561335.

The spelling of 51590628 in words is "fifty-one million, five hundred ninety thousand, six hundred twenty-eight".