51629328 has 60 divisors (see below), whose sum is σ = 145370160. Its totient is φ = 17105088.

The previous prime is 51629311. The next prime is 51629339. The reversal of 51629328 is 82392615.

51629328 is a `hidden beast` number, since 5 + 1 + 629 + 3 + 28 = 666.

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 = 51629292 and 51629301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24775 + ... + 26777.

It is an arithmetic number, because the mean of its divisors is an integer number (2422836).

Almost surely, 2^51629328 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 51629328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72685080).

51629328 is an abundant number, since it is smaller than the sum of its proper divisors (93740832).

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

51629328 is a wasteful number, since it uses less digits than its factorization.

51629328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2187 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 51629328 is about 7185.3551060473. The cubic root of 51629328 is about 372.3621170387.

The spelling of 51629328 in words is "fifty-one million, six hundred twenty-nine thousand, three hundred twenty-eight".