51928000 has 56 divisors (see below), whose sum is σ = 128619504. Its totient is φ = 20768000.

The previous prime is 51927973. The next prime is 51928027. The reversal of 51928000 is 82915.

It is an interprime number because it is at equal distance from previous prime (51927973) and next prime (51928027).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4755 + ... + 11245.

Almost surely, 2^51928000 is an apocalyptic number.

51928000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64309752).

51928000 is an abundant number, since it is smaller than the sum of its proper divisors (76691504).

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

51928000 is an equidigital number, since it uses as much as digits as its factorization.

51928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6518 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 51928000 is about 7206.1085198601. The cubic root of 51928000 is about 373.0787663657.

The spelling of 51928000 in words is "fifty-one million, nine hundred twenty-eight thousand".