55728456 has 64 divisors (see below), whose sum is σ = 161633280. Its totient is φ = 15681600.

The previous prime is 55728451. The next prime is 55728457. The reversal of 55728456 is 65482755.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (55728451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8781 + ... + 13731.

It is an arithmetic number, because the mean of its divisors is an integer number (2525520).

Almost surely, 2^55728456 is an apocalyptic number.

55728456 is a gapful number since it is divisible by the number (56) 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 55728456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80816640).

55728456 is an abundant number, since it is smaller than the sum of its proper divisors (105904824).

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

55728456 is a wasteful number, since it uses less digits than its factorization.

55728456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034 (or 5030 counting only the distinct ones).

The product of its digits is 336000, while the sum is 42.

The square root of 55728456 is about 7465.1494291809. The cubic root of 55728456 is about 381.9668474468.

It can be divided in two parts, 5572 and 8456, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 55728456 in words is "fifty-five million, seven hundred twenty-eight thousand, four hundred fifty-six".