1028905920 has 504 divisors, whose sum is σ = 4309347744. Its totient is φ = 224243712.

The previous prime is 1028905883. The next prime is 1028905957. The reversal of 1028905920 is 295098201.

It is an interprime number because it is at equal distance from previous prime (1028905883) and next prime (1028905957).

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1028905920² = 2117294784422092800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3245602 + ... + 3245918.

Almost surely, 2^1028905920 is an apocalyptic number.

1028905920 is a gapful number since it is divisible by the number (10) 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 1028905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154673872).

1028905920 is an abundant number, since it is smaller than the sum of its proper divisors (3280441824).

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

1028905920 is a wasteful number, since it uses less digits than its factorization.

1028905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1028905920 is about 32076.5634069487. The cubic root of 1028905920 is about 1009.5439302866.

The spelling of 1028905920 in words is "one billion, twenty-eight million, nine hundred five thousand, nine hundred twenty".