51628776 has 96 divisors (see below), whose sum is σ = 139903200. Its totient is φ = 15868800.

The previous prime is 51628771. The next prime is 51628777. The reversal of 51628776 is 67782615.

51628776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51628776² = 5331061022516352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51628771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511126 + ... + 511226.

It is an arithmetic number, because the mean of its divisors is an integer number (1457325).

Almost surely, 2^51628776 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 51628776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69951600).

51628776 is an abundant number, since it is smaller than the sum of its proper divisors (88274424).

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

51628776 is a wasteful number, since it uses less digits than its factorization.

51628776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 184 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 51628776 is about 7185.3166944819. The cubic root of 51628776 is about 372.3607899853.

It can be divided in two parts, 516 and 28776, that added together give a palindrome (29292).

The spelling of 51628776 in words is "fifty-one million, six hundred twenty-eight thousand, seven hundred seventy-six".