50728800 has 144 divisors (see below), whose sum is σ = 172488960. Its totient is φ = 12925440.

The previous prime is 50728793. The next prime is 50728829. The reversal of 50728800 is 882705.

It is a super-2 number, since 2×50728800² = 5146822298880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54741 + ... + 55659.

It is an arithmetic number, because the mean of its divisors is an integer number (1197840).

Almost surely, 2^50728800 is an apocalyptic number.

50728800 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 50728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86244480).

50728800 is an abundant number, since it is smaller than the sum of its proper divisors (121760160).

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

50728800 is a wasteful number, since it uses less digits than its factorization.

50728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 50728800 is about 7122.4153206619. The cubic root of 50728800 is about 370.1844709543.

The spelling of 50728800 in words is "fifty million, seven hundred twenty-eight thousand, eight hundred".