54028800 has 360 divisors, whose sum is σ = 224274336. Its totient is φ = 12165120.

The previous prime is 54028789. The next prime is 54028813. The reversal of 54028800 is 882045.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×54028800² = 5838222458880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 806367 + ... + 806433.

Almost surely, 2^54028800 is an apocalyptic number.

54028800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112137168).

54028800 is an abundant number, since it is smaller than the sum of its proper divisors (170245536).

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

54028800 is a wasteful number, since it uses less digits than its factorization.

54028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 54028800 is about 7350.4285589345. The cubic root of 54028800 is about 378.0434988154.

The spelling of 54028800 in words is "fifty-four million, twenty-eight thousand, eight hundred".