1128831840 has 288 divisors, whose sum is σ = 3992369472. Its totient is φ = 290304000.

The previous prime is 1128831839. The next prime is 1128831859. The reversal of 1128831840 is 481388211.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1128831840² = 2548522645995571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1128831795 and 1128831804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6236550 + ... + 6236730.

It is an arithmetic number, because the mean of its divisors is an integer number (13862394).

Almost surely, 2^1128831840 is an apocalyptic number.

1128831840 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 1128831840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996184736).

1128831840 is an abundant number, since it is smaller than the sum of its proper divisors (2863537632).

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

1128831840 is a wasteful number, since it uses less digits than its factorization.

1128831840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1128831840 is about 33598.0928030149. The cubic root of 1128831840 is about 1041.2213953837.

The spelling of 1128831840 in words is "one billion, one hundred twenty-eight million, eight hundred thirty-one thousand, eight hundred forty".