55328400 has 240 divisors, whose sum is σ = 202963200. Its totient is φ = 14307840.

The previous prime is 55328389. The next prime is 55328411. The reversal of 55328400 is 482355.

It is an interprime number because it is at equal distance from previous prime (55328389) and next prime (55328411).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×55328400² = 6122463693120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507546 + ... + 507654.

It is an arithmetic number, because the mean of its divisors is an integer number (845680).

Almost surely, 2^55328400 is an apocalyptic number.

55328400 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 55328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101481600).

55328400 is an abundant number, since it is smaller than the sum of its proper divisors (147634800).

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

55328400 is a wasteful number, since it uses less digits than its factorization.

55328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 55328400 is about 7438.3062588199. The cubic root of 55328400 is about 381.0506473683.

It can be divided in two parts, 55 and 328400, that added together give a triangular number (328455 = T₈₁₀).

The spelling of 55328400 in words is "fifty-five million, three hundred twenty-eight thousand, four hundred".