53628120 has 192 divisors, whose sum is σ = 214643520. Its totient is φ = 11308032.

The previous prime is 53628119. The next prime is 53628131. The reversal of 53628120 is 2182635.

53628120 is a `hidden beast` number, since 536 + 2 + 8 + 120 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31942 + ... + 33578.

It is an arithmetic number, because the mean of its divisors is an integer number (1117935).

Almost surely, 2^53628120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53628120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107321760).

53628120 is an abundant number, since it is smaller than the sum of its proper divisors (161015400).

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

53628120 is a wasteful number, since it uses less digits than its factorization.

53628120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 53628120 is about 7323.1222849274. The cubic root of 53628120 is about 377.1066499086.

The spelling of 53628120 in words is "fifty-three million, six hundred twenty-eight thousand, one hundred twenty".