1128288100 has 27 divisors (see below), whose sum is σ = 2449114297. Its totient is φ = 451180880.

The previous prime is 1128288089. The next prime is 1128288127. The reversal of 1128288100 is 18828211.

It is a happy number.

The square root of 1128288100 is 33590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 406183716 + 722104384 = 20154^2 + 26872^2 .

It is a super-2 number, since 2×1128288100² = 2546068073203220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 334221 + ... + 337579.

Almost surely, 2^1128288100 is an apocalyptic number.

1128288100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1128288100 is the 33590-th square number.

It is an amenable number.

1128288100 is an abundant number, since it is smaller than the sum of its proper divisors (1320826197).

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

1128288100 is an frugal number, since it uses more digits than its factorization.

1128288100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6732 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 31.

The cubic root of 1128288100 is about 1041.0541887109.

The spelling of 1128288100 in words is "one billion, one hundred twenty-eight million, two hundred eighty-eight thousand, one hundred".