11628220032 has 960 divisors, whose sum is σ = 44123143680. Its totient is φ = 3010867200.

The previous prime is 11628220027. The next prime is 11628220033. The reversal of 11628220032 is 23002282611.

11628220032 is a `hidden beast` number, since 1 + 1 + 628 + 2 + 2 + 0 + 0 + 32 = 666.

It is a super-2 number, since 2×11628220032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11628219978 and 11628220005.

It is not an unprimeable number, because it can be changed into a prime (11628220033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 375103857 + ... + 375103887.

It is an arithmetic number, because the mean of its divisors is an integer number (45961608).

Almost surely, 2^11628220032 is an apocalyptic number.

11628220032 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 11628220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22061571840).

11628220032 is an abundant number, since it is smaller than the sum of its proper divisors (32494923648).

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

11628220032 is a wasteful number, since it uses less digits than its factorization.

11628220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11628220032 in words is "eleven billion, six hundred twenty-eight million, two hundred twenty thousand, thirty-two".