11628947088 has 200 divisors, whose sum is σ = 37412534016. Its totient is φ = 3457209600.

The previous prime is 11628947081. The next prime is 11628947089. The reversal of 11628947088 is 88074982611.

11628947088 is a `hidden beast` number, since 1 + 1 + 628 + 9 + 4 + 7 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11628947081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 747873 + ... + 763263.

Almost surely, 2^11628947088 is an apocalyptic number.

11628947088 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 11628947088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18706267008).

11628947088 is an abundant number, since it is smaller than the sum of its proper divisors (25783586928).

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

11628947088 is a wasteful number, since it uses less digits than its factorization.

11628947088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15475 (or 15460 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 11628947088 in words is "eleven billion, six hundred twenty-eight million, nine hundred forty-seven thousand, eighty-eight".