1032959928 has 512 divisors, whose sum is σ = 3819110400. Its totient is φ = 223948800.

The previous prime is 1032959927. The next prime is 1032959929. The reversal of 1032959928 is 8299592301.

It is an interprime number because it is at equal distance from previous prime (1032959927) and next prime (1032959929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032959927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14150100 + ... + 14150172.

It is an arithmetic number, because the mean of its divisors is an integer number (7459200).

Almost surely, 2^1032959928 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 1032959928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909555200).

1032959928 is an abundant number, since it is smaller than the sum of its proper divisors (2786150472).

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

1032959928 is a wasteful number, since it uses less digits than its factorization.

1032959928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 1032959928 is about 32139.6939624509. The cubic root of 1032959928 is about 1010.8680991894.

The spelling of 1032959928 in words is "one billion, thirty-two million, nine hundred fifty-nine thousand, nine hundred twenty-eight".