1090016928 has 576 divisors, whose sum is σ = 4402944000. Its totient is φ = 246343680.

The previous prime is 1090016911. The next prime is 1090016969. The reversal of 1090016928 is 8296100901.

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 = 1090016892 and 1090016901.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5477373 + ... + 5477571.

It is an arithmetic number, because the mean of its divisors is an integer number (7644000).

Almost surely, 2^1090016928 is an apocalyptic number.

1090016928 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 1090016928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201472000).

1090016928 is an abundant number, since it is smaller than the sum of its proper divisors (3312927072).

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

1090016928 is a wasteful number, since it uses less digits than its factorization.

1090016928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1090016928 is about 33015.4044046109. The cubic root of 1090016928 is about 1029.1477941658.

The spelling of 1090016928 in words is "one billion, ninety million, sixteen thousand, nine hundred twenty-eight".