1128292416 has 140 divisors (see below), whose sum is σ = 3490398912. Its totient is φ = 359707392.

The previous prime is 1128292411. The next prime is 1128292421. The reversal of 1128292416 is 6142928211.

It is an interprime number because it is at equal distance from previous prime (1128292411) and next prime (1128292421).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1128292411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114501 + ... + 123963.

Almost surely, 2^1128292416 is an apocalyptic number.

1128292416 is a gapful number since it is divisible by the number (16) 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 1128292416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745199456).

1128292416 is an abundant number, since it is smaller than the sum of its proper divisors (2362106496).

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

1128292416 is an equidigital number, since it uses as much as digits as its factorization.

1128292416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9510 (or 9491 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1128292416 is about 33590.0642452497. The cubic root of 1128292416 is about 1041.0555161450.

The spelling of 1128292416 in words is "one billion, one hundred twenty-eight million, two hundred ninety-two thousand, four hundred sixteen".