51776128 has 64 divisors (see below), whose sum is σ = 110404800. Its totient is φ = 24127488.

The previous prime is 51776119. The next prime is 51776141. The reversal of 51776128 is 82167715.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126388 + ... + 126796.

It is an arithmetic number, because the mean of its divisors is an integer number (1725075).

Almost surely, 2^51776128 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 51776128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55202400).

51776128 is an abundant number, since it is smaller than the sum of its proper divisors (58628672).

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

51776128 is a wasteful number, since it uses less digits than its factorization.

51776128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 477 counting only the distinct ones).

The product of its digits is 23520, while the sum is 37.

The square root of 51776128 is about 7195.5630773415. The cubic root of 51776128 is about 372.7147010848.

The spelling of 51776128 in words is "fifty-one million, seven hundred seventy-six thousand, one hundred twenty-eight".