1028588100 has 72 divisors (see below), whose sum is σ = 3024889728. Its totient is φ = 269788800.

The previous prime is 1028588089. The next prime is 1028588101. The reversal of 1028588100 is 18858201.

It is a super-2 number, since 2×1028588100² = 2115986958923220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1028588101) 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 23 ways as a sum of consecutive naturals, for example, 9804 + ... + 46403.

Almost surely, 2^1028588100 is an apocalyptic number.

1028588100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028588100 is an abundant number, since it is smaller than the sum of its proper divisors (1996301628).

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

1028588100 is a wasteful number, since it uses less digits than its factorization.

1028588100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56285 (or 56278 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 33.

The square root of 1028588100 is about 32071.6089399955. The cubic root of 1028588100 is about 1009.4399731649.

The spelling of 1028588100 in words is "one billion, twenty-eight million, five hundred eighty-eight thousand, one hundred".