54288600 has 48 divisors (see below), whose sum is σ = 168296520. Its totient is φ = 14476800.

The previous prime is 54288581. The next prime is 54288601. The reversal of 54288600 is 688245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54288601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44641 + ... + 45840.

Almost surely, 2^54288600 is an apocalyptic number.

54288600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54288600 is an abundant number, since it is smaller than the sum of its proper divisors (114007920).

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

54288600 is a wasteful number, since it uses less digits than its factorization.

54288600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90500 (or 90491 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 54288600 is about 7368.0798041281. The cubic root of 54288600 is about 378.6484767486.

It can be divided in two parts, 5428 and 8600, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 54288600 in words is "fifty-four million, two hundred eighty-eight thousand, six hundred".