54836628 has 96 divisors (see below), whose sum is σ = 168956928. Its totient is φ = 13401600.

The previous prime is 54836599. The next prime is 54836633. The reversal of 54836628 is 82663845.

54836628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

54836628 is a nontrivial binomial coefficient, being equal to C(10473, 2).

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

It is a self number, because there is not a number n which added to its sum of digits gives 54836628.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13963 + ... + 17453.

It is an arithmetic number, because the mean of its divisors is an integer number (1759968).

Almost surely, 2^54836628 is an apocalyptic number.

54836628 is the 10472-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54836628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84478464).

54836628 is an abundant number, since it is smaller than the sum of its proper divisors (114120300).

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

54836628 is a wasteful number, since it uses less digits than its factorization.

54836628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3531 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 54836628 is about 7405.1757575361. The cubic root of 54836628 is about 379.9183296322.

The spelling of 54836628 in words is "fifty-four million, eight hundred thirty-six thousand, six hundred twenty-eight".