51928128 has 224 divisors, whose sum is σ = 179953920. Its totient is φ = 14556672.

The previous prime is 51928117. The next prime is 51928153. The reversal of 51928128 is 82182915.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 51928092 and 51928101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979750 + ... + 979802.

Almost surely, 2^51928128 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 51928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89976960).

51928128 is an abundant number, since it is smaller than the sum of its proper divisors (128025792).

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

51928128 is an frugal number, since it uses more digits than its factorization.

51928128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 51928128 is about 7206.1174012085. The cubic root of 51928128 is about 373.0790729058.

The spelling of 51928128 in words is "fifty-one million, nine hundred twenty-eight thousand, one hundred twenty-eight".