55456128 has 288 divisors, whose sum is σ = 205317840. Its totient is φ = 13989888.

The previous prime is 55456123. The next prime is 55456133. The reversal of 55456128 is 82165455.

It is an interprime number because it is at equal distance from previous prime (55456123) and next prime (55456133).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (48000) is a multiple of the sum of its prime divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 55456092 and 55456101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55456123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2411125 + ... + 2411147.

Almost surely, 2^55456128 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 55456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102658920).

55456128 is an abundant number, since it is smaller than the sum of its proper divisors (149861712).

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

55456128 is a wasteful number, since it uses less digits than its factorization.

55456128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 48 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 55456128 is about 7446.8871349041. The cubic root of 55456128 is about 381.3436459738.

The spelling of 55456128 in words is "fifty-five million, four hundred fifty-six thousand, one hundred twenty-eight".