1028136960 has 168 divisors, whose sum is σ = 3565268460. Its totient is φ = 274071552.

The previous prime is 1028136953. The next prime is 1028137021. The reversal of 1028136960 is 696318201.

1028136960 is a `hidden beast` number, since 10 + 281 + 369 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1028100096 + 36864 = 32064^2 + 192^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367246 + ... + 370034.

Almost surely, 2^1028136960 is an apocalyptic number.

1028136960 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 1028136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782634230).

1028136960 is an abundant number, since it is smaller than the sum of its proper divisors (2537131500).

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

1028136960 is an equidigital number, since it uses as much as digits as its factorization.

1028136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1028136960 is about 32064.5748451465. The cubic root of 1028136960 is about 1009.2923710473.

The spelling of 1028136960 in words is "one billion, twenty-eight million, one hundred thirty-six thousand, nine hundred sixty".