51468928 has 128 divisors (see below), whose sum is σ = 129254400. Its totient is φ = 19906560.

The previous prime is 51468919. The next prime is 51468941. The reversal of 51468928 is 82986415.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472138 + ... + 472246.

It is an arithmetic number, because the mean of its divisors is an integer number (1009800).

Almost surely, 2^51468928 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 51468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64627200).

51468928 is an abundant number, since it is smaller than the sum of its proper divisors (77785472).

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

51468928 is a wasteful number, since it uses less digits than its factorization.

51468928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its digits is 138240, while the sum is 43.

The square root of 51468928 is about 7174.1848317422. The cubic root of 51468928 is about 371.9761036024.

The spelling of 51468928 in words is "fifty-one million, four hundred sixty-eight thousand, nine hundred twenty-eight".