50928000 has 128 divisors (see below), whose sum is σ = 168985440. Its totient is φ = 13568000.

The previous prime is 50927983. The next prime is 50928001. The reversal of 50928000 is 82905.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×50928000² = 5187322368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50928001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47470 + ... + 48530.

Almost surely, 2^50928000 is an apocalyptic number.

50928000 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 50928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84492720).

50928000 is an abundant number, since it is smaller than the sum of its proper divisors (118057440).

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

50928000 is a wasteful number, since it uses less digits than its factorization.

50928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 50928000 is about 7136.3856398039. The cubic root of 50928000 is about 370.6683803957.

The spelling of 50928000 in words is "fifty million, nine hundred twenty-eight thousand".