553760928 has 384 divisors, whose sum is σ = 1999872000. Its totient is φ = 145566720.

The previous prime is 553760899. The next prime is 553760929. The reversal of 553760928 is 829067355.

It is a happy number.

553760928 is a `hidden beast` number, since 5 + 5 + 37 + 609 + 2 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553760929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7009593 + ... + 7009671.

It is an arithmetic number, because the mean of its divisors is an integer number (5208000).

Almost surely, 2^553760928 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 553760928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999936000).

553760928 is an abundant number, since it is smaller than the sum of its proper divisors (1446111072).

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

553760928 is a wasteful number, since it uses less digits than its factorization.

553760928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 553760928 is about 23532.1254458666. The cubic root of 553760928 is about 821.1845501520.

The spelling of 553760928 in words is "five hundred fifty-three million, seven hundred sixty thousand, nine hundred twenty-eight".