54985728 has 88 divisors (see below), whose sum is σ = 167559232. Its totient is φ = 15704064.

The previous prime is 54985727. The next prime is 54985729. The reversal of 54985728 is 82758945.

It is an interprime number because it is at equal distance from previous prime (54985727) and next prime (54985729).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (54985727) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20226 + ... + 22782.

Almost surely, 2^54985728 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 54985728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83779616).

54985728 is an abundant number, since it is smaller than the sum of its proper divisors (112573504).

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

54985728 is a wasteful number, since it uses less digits than its factorization.

54985728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2569 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The square root of 54985728 is about 7415.2362066221. The cubic root of 54985728 is about 380.2623488441.

The spelling of 54985728 in words is "fifty-four million, nine hundred eighty-five thousand, seven hundred twenty-eight".