54536328 has 160 divisors (see below), whose sum is σ = 190618560. Its totient is φ = 14152320.

The previous prime is 54536291. The next prime is 54536333. The reversal of 54536328 is 82363545.

It is a happy number.

It is a super-2 number, since 2×54536328² = 5948422143447168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54536292 and 54536301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49350 + ... + 50442.

It is an arithmetic number, because the mean of its divisors is an integer number (1191366).

Almost surely, 2^54536328 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 54536328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95309280).

54536328 is an abundant number, since it is smaller than the sum of its proper divisors (136082232).

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

54536328 is a wasteful number, since it uses less digits than its factorization.

54536328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1116 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 54536328 is about 7384.8715628642. The cubic root of 54536328 is about 379.2235484495.

It can be divided in two parts, 5453 and 6328, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 54536328 in words is "fifty-four million, five hundred thirty-six thousand, three hundred twenty-eight".