1090294128 has 320 divisors, whose sum is σ = 3964032000. Its totient is φ = 278691840.

The previous prime is 1090294103. The next prime is 1090294151. The reversal of 1090294128 is 8214920901.

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 = 1090294092 and 1090294101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2428048 + ... + 2428496.

It is an arithmetic number, because the mean of its divisors is an integer number (12387600).

Almost surely, 2^1090294128 is an apocalyptic number.

1090294128 is a gapful number since it is divisible by the number (18) 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 1090294128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982016000).

1090294128 is an abundant number, since it is smaller than the sum of its proper divisors (2873737872).

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

1090294128 is a wasteful number, since it uses less digits than its factorization.

1090294128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1090294128 is about 33019.6021781002. The cubic root of 1090294128 is about 1029.2350269362.

The spelling of 1090294128 in words is "one billion, ninety million, two hundred ninety-four thousand, one hundred twenty-eight".