1027265928 has 256 divisors, whose sum is σ = 3061255680. Its totient is φ = 284663808.

The previous prime is 1027265917. The next prime is 1027265977. The reversal of 1027265928 is 8295627201.

It is a super-3 number, since 3×1027265928³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1027265928.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14072100 + ... + 14072172.

It is an arithmetic number, because the mean of its divisors is an integer number (11958030).

Almost surely, 2^1027265928 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 1027265928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530627840).

1027265928 is an abundant number, since it is smaller than the sum of its proper divisors (2033989752).

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

1027265928 is a wasteful number, since it uses less digits than its factorization.

1027265928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 1027265928 is about 32050.9895011059. The cubic root of 1027265928 is about 1009.0072681971.

The spelling of 1027265928 in words is "one billion, twenty-seven million, two hundred sixty-five thousand, nine hundred twenty-eight".