1032632928 has 96 divisors (see below), whose sum is σ = 3115778400. Its totient is φ = 332333568.

The previous prime is 1032632903. The next prime is 1032632959. The reversal of 1032632928 is 8292362301.

1032632928 is a `hidden beast` number, since 1 + 0 + 326 + 329 + 2 + 8 = 666.

1032632928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 1032632892 and 1032632901.

It is a congruent number.

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, 4450 + ... + 45662.

It is an arithmetic number, because the mean of its divisors is an integer number (32456025).

Almost surely, 2^1032632928 is an apocalyptic number.

1032632928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032632928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557889200).

1032632928 is an abundant number, since it is smaller than the sum of its proper divisors (2083145472).

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

1032632928 is a wasteful number, since it uses less digits than its factorization.

1032632928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41261 (or 41247 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1032632928 is about 32134.6063924860. The cubic root of 1032632928 is about 1010.7614191055.

The spelling of 1032632928 in words is "one billion, thirty-two million, six hundred thirty-two thousand, nine hundred twenty-eight".