1128479040 has 560 divisors, whose sum is σ = 4600510992. Its totient is φ = 260112384.

The previous prime is 1128478999. The next prime is 1128479083. The reversal of 1128479040 is 409748211.

It can be written as a sum of positive squares in 8 ways, for example, as 45805824 + 1082673216 = 6768^2 + 32904^2 .

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 = 1128478986 and 1128479004.

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 79 ways as a sum of consecutive naturals, for example, 5728222 + ... + 5728418.

Almost surely, 2^1128479040 is an apocalyptic number.

1128479040 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 1128479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300255496).

1128479040 is an abundant number, since it is smaller than the sum of its proper divisors (3472031952).

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

1128479040 is a wasteful number, since it uses less digits than its factorization.

1128479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1128479040 is about 33592.8420947082. The cubic root of 1128479040 is about 1041.1129112053.

The spelling of 1128479040 in words is "one billion, one hundred twenty-eight million, four hundred seventy-nine thousand, forty".