51188928 has 84 divisors (see below), whose sum is σ = 157578552. Its totient is φ = 14622720.

The previous prime is 51188923. The next prime is 51188933. The reversal of 51188928 is 82988115.

It is an interprime number because it is at equal distance from previous prime (51188923) and next prime (51188933).

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 51188928.

It is not an unprimeable number, because it can be changed into a prime (51188923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6688 + ... + 12128.

Almost surely, 2^51188928 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 51188928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78789276).

51188928 is an abundant number, since it is smaller than the sum of its proper divisors (106389624).

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

51188928 is a wasteful number, since it uses less digits than its factorization.

51188928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5453 counting only the distinct ones).

The product of its digits is 46080, while the sum is 42.

The square root of 51188928 is about 7154.6438066475. The cubic root of 51188928 is about 371.3003382638.

The spelling of 51188928 in words is "fifty-one million, one hundred eighty-eight thousand, nine hundred twenty-eight".