1128882400 has 72 divisors (see below), whose sum is σ = 2802711240. Its totient is φ = 443880960.

The previous prime is 1128882383. The next prime is 1128882499. The reversal of 1128882400 is 42888211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35242 + ... + 59158.

It is an arithmetic number, because the mean of its divisors is an integer number (38926545).

Almost surely, 2^1128882400 is an apocalyptic number.

1128882400 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 1128882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401355620).

1128882400 is an abundant number, since it is smaller than the sum of its proper divisors (1673828840).

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

1128882400 is a wasteful number, since it uses less digits than its factorization.

1128882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23996 (or 23983 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 1128882400 is about 33598.8452182512. The cubic root of 1128882400 is about 1041.2369404708.

The spelling of 1128882400 in words is "one billion, one hundred twenty-eight million, eight hundred eighty-two thousand, four hundred".