11028915072 has 256 divisors, whose sum is σ = 37730534400. Its totient is φ = 3106252800.

The previous prime is 11028915059. The next prime is 11028915097. The reversal of 11028915072 is 27051982011.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1714422 + ... + 1720842.

It is an arithmetic number, because the mean of its divisors is an integer number (147384900).

Almost surely, 2^11028915072 is an apocalyptic number.

11028915072 is a gapful number since it is divisible by the number (12) 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 11028915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18865267200).

11028915072 is an abundant number, since it is smaller than the sum of its proper divisors (26701619328).

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

11028915072 is an equidigital number, since it uses as much as digits as its factorization.

11028915072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6522 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 11028915072 in words is "eleven billion, twenty-eight million, nine hundred fifteen thousand, seventy-two".