55284768 has 240 divisors, whose sum is σ = 203442624. Its totient is φ = 14307840.

The previous prime is 55284767. The next prime is 55284781. The reversal of 55284768 is 86748255.

Its product of digits (537600) is a multiple of the sum of its prime divisors (300).

It is not an unprimeable number, because it can be changed into a prime (55284767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199446 + ... + 199722.

Almost surely, 2^55284768 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 55284768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101721312).

55284768 is an abundant number, since it is smaller than the sum of its proper divisors (148157856).

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

55284768 is a wasteful number, since it uses less digits than its factorization.

55284768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 300 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 55284768 is about 7435.3727546102. The cubic root of 55284768 is about 380.9504554585.

It can be divided in two parts, 5528 and 4768, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 55284768 in words is "fifty-five million, two hundred eighty-four thousand, seven hundred sixty-eight".