51506928 has 100 divisors (see below), whose sum is σ = 162673368. Its totient is φ = 15603840.

The previous prime is 51506927. The next prime is 51506933. The reversal of 51506928 is 82960515.

It is a happy number.

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 = 51506892 and 51506901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51506927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12450 + ... + 16062.

Almost surely, 2^51506928 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 51506928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81336684).

51506928 is an abundant number, since it is smaller than the sum of its proper divisors (111166440).

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

51506928 is a wasteful number, since it uses less digits than its factorization.

51506928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3629 counting only the distinct ones).

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

The square root of 51506928 is about 7176.8327276035. The cubic root of 51506928 is about 372.0676255829.

The spelling of 51506928 in words is "fifty-one million, five hundred six thousand, nine hundred twenty-eight".