11998728 has 144 divisors (see below), whose sum is σ = 40014000. Its totient is φ = 3229632.

The previous prime is 11998717. The next prime is 11998733. The reversal of 11998728 is 82789911.

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

Its product of digits (72576) is a multiple of the sum of its prime factors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66943 + ... + 67121.

It is an arithmetic number, because the mean of its divisors is an integer number (277875).

Almost surely, 2^11998728 is an apocalyptic number.

11998728 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 11998728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20007000).

11998728 is an abundant number, since it is smaller than the sum of its proper divisors (28015272).

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

11998728 is a wasteful number, since it uses less digits than its factorization.

11998728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its digits is 72576, while the sum is 45.

The square root of 11998728 is about 3463.9180128866. The cubic root of 11998728 is about 228.9347589108.

The spelling of 11998728 in words is "eleven million, nine hundred ninety-eight thousand, seven hundred twenty-eight".