552616128 has 112 divisors (see below), whose sum is σ = 1633992160. Its totient is φ = 183140352.

The previous prime is 552616109. The next prime is 552616153. The reversal of 552616128 is 821616255.

552616128 is a `hidden beast` number, since 5 + 526 + 1 + 6 + 128 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 552616092 and 552616101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332676 + ... + 334332.

Almost surely, 2^552616128 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 552616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816996080).

552616128 is an abundant number, since it is smaller than the sum of its proper divisors (1081376032).

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

552616128 is a wasteful number, since it uses less digits than its factorization.

552616128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1855 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 552616128 is about 23507.7886667377. The cubic root of 552616128 is about 820.6182765168.

The spelling of 552616128 in words is "five hundred fifty-two million, six hundred sixteen thousand, one hundred twenty-eight".