10990728000 has 560 divisors, whose sum is σ = 46487510784. Its totient is φ = 2511129600.

The previous prime is 10990727971. The next prime is 10990728029. The reversal of 10990728000 is 82709901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10990727971) and next prime (10990728029).

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×10990728000² (a number of 21 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 4534789 + ... + 4537211.

Almost surely, 2^10990728000 is an apocalyptic number.

10990728000 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 10990728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23243755392).

10990728000 is an abundant number, since it is smaller than the sum of its proper divisors (35496782784).

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

10990728000 is an equidigital number, since it uses as much as digits as its factorization.

10990728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 10990728000 in words is "ten billion, nine hundred ninety million, seven hundred twenty-eight thousand".