53628042 has 64 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 15601344.

The previous prime is 53628017. The next prime is 53628061. The reversal of 53628042 is 24082635.

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 31 ways as a sum of consecutive naturals, for example, 299509 + ... + 299687.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^53628042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53628042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

53628042 is an abundant number, since it is smaller than the sum of its proper divisors (68299638).

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

53628042 is a wasteful number, since it uses less digits than its factorization.

53628042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 53628042 is about 7323.1169593282. The cubic root of 53628042 is about 377.1064670795.

The spelling of 53628042 in words is "fifty-three million, six hundred twenty-eight thousand, forty-two".