51632128 has 48 divisors (see below), whose sum is σ = 109385640. Its totient is φ = 24281088.

The previous prime is 51632117. The next prime is 51632137. The reversal of 51632128 is 82123615.

It is a junction number, because it is equal to n+sod(n) for n = 51632096 and 51632105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34075 + ... + 35557.

Almost surely, 2^51632128 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 51632128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54692820).

51632128 is an abundant number, since it is smaller than the sum of its proper divisors (57753512).

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

51632128 is a wasteful number, since it uses less digits than its factorization.

51632128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1502 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 51632128 is about 7185.5499441588. The cubic root of 51632128 is about 372.3688483231.

The spelling of 51632128 in words is "fifty-one million, six hundred thirty-two thousand, one hundred twenty-eight".