54609828 has 96 divisors (see below), whose sum is σ = 160613376. Its totient is φ = 14055552.

The previous prime is 54609809. The next prime is 54609833. The reversal of 54609828 is 82890645.

It is a Harshad number since it is a multiple of its sum of digits (42).

54609828 is a modest number, since divided by 9828 gives 5460 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 54609828.

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, 46375 + ... + 47537.

It is an arithmetic number, because the mean of its divisors is an integer number (1673056).

Almost surely, 2^54609828 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 54609828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80306688).

54609828 is an abundant number, since it is smaller than the sum of its proper divisors (106003548).

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

54609828 is a wasteful number, since it uses less digits than its factorization.

54609828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 54609828 is about 7389.8462771562. The cubic root of 54609828 is about 379.3938350548.

The spelling of 54609828 in words is "fifty-four million, six hundred nine thousand, eight hundred twenty-eight".