1027428864 has 480 divisors, whose sum is σ = 3728172096. Its totient is φ = 247726080.

The previous prime is 1027428827. The next prime is 1027428869. The reversal of 1027428864 is 4688247201.

It is a super-2 number, since 2×1027428864² = 2111220141160660992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1027428869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14074332 + ... + 14074404.

Almost surely, 2^1027428864 is an apocalyptic number.

1027428864 is a gapful number since it is divisible by the number (14) 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 1027428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864086048).

1027428864 is an abundant number, since it is smaller than the sum of its proper divisors (2700743232).

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

1027428864 is a wasteful number, since it uses less digits than its factorization.

1027428864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 1027428864 is about 32053.5312251240. The cubic root of 1027428864 is about 1009.0606120335.

The spelling of 1027428864 in words is "one billion, twenty-seven million, four hundred twenty-eight thousand, eight hundred sixty-four".