51407928 has 96 divisors (see below), whose sum is σ = 163603440. Its totient is φ = 14376960.

The previous prime is 51407903. The next prime is 51407929. The reversal of 51407928 is 82970415.

It is a super-2 number, since 2×51407928² = 5285550122506368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 = 51407892 and 51407901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51407929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7800 + ... + 12792.

Almost surely, 2^51407928 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 51407928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81801720).

51407928 is an abundant number, since it is smaller than the sum of its proper divisors (112195512).

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

51407928 is a wasteful number, since it uses less digits than its factorization.

51407928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5029 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 51407928 is about 7169.9322172528. The cubic root of 51407928 is about 371.8290924946.

The spelling of 51407928 in words is "fifty-one million, four hundred seven thousand, nine hundred twenty-eight".