51628600 has 24 divisors (see below), whose sum is σ = 120036960. Its totient is φ = 20651360.

The previous prime is 51628597. The next prime is 51628601. The reversal of 51628600 is 682615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51628601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128872 + ... + 129271.

It is an arithmetic number, because the mean of its divisors is an integer number (5001540).

Almost surely, 2^51628600 is an apocalyptic number.

51628600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51628600 is an abundant number, since it is smaller than the sum of its proper divisors (68408360).

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

51628600 is a wasteful number, since it uses less digits than its factorization.

51628600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258159 (or 258150 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 51628600 is about 7185.3044472729. The cubic root of 51628600 is about 372.3603668648.

The spelling of 51628600 in words is "fifty-one million, six hundred twenty-eight thousand, six hundred".