53628000 has 192 divisors, whose sum is σ = 181621440. Its totient is φ = 13824000.

The previous prime is 53627999. The next prime is 53628011. The reversal of 53628000 is 82635.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491946 + ... + 492054.

It is an arithmetic number, because the mean of its divisors is an integer number (945945).

Almost surely, 2^53628000 is an apocalyptic number.

53628000 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 53628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90810720).

53628000 is an abundant number, since it is smaller than the sum of its proper divisors (127993440).

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

53628000 is a wasteful number, since it uses less digits than its factorization.

53628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 53628000 is about 7323.1140916962. The cubic root of 53628000 is about 377.1063686330.

The spelling of 53628000 in words is "fifty-three million, six hundred twenty-eight thousand".