1032553328 has 40 divisors (see below), whose sum is σ = 2110318800. Its totient is φ = 488070144.

The previous prime is 1032553321. The next prime is 1032553337. The reversal of 1032553328 is 8233552301.

1032553328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1032553294 and 1032553303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032553321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151400 + ... + 158072.

It is an arithmetic number, because the mean of its divisors is an integer number (52757970).

Almost surely, 2^1032553328 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 1032553328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055159400).

1032553328 is an abundant number, since it is smaller than the sum of its proper divisors (1077765472).

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

1032553328 is a wasteful number, since it uses less digits than its factorization.

1032553328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7209 (or 7203 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 1032553328 is about 32133.3678284739. The cubic root of 1032553328 is about 1010.7354470897.

The spelling of 1032553328 in words is "one billion, thirty-two million, five hundred fifty-three thousand, three hundred twenty-eight".