32228219520 has 1024 divisors, whose sum is σ = 141396480000. Its totient is φ = 6772211712.

The previous prime is 32228219509. The next prime is 32228219561. The reversal of 32228219520 is 2591282223.

32228219520 is a `hidden beast` number, since 32 + 22 + 82 + 1 + 9 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85034691 + ... + 85035069.

It is an arithmetic number, because the mean of its divisors is an integer number (138082500).

Almost surely, 2^32228219520 is an apocalyptic number.

32228219520 is a gapful number since it is divisible by the number (30) 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 32228219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70698240000).

32228219520 is an abundant number, since it is smaller than the sum of its proper divisors (109168260480).

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

32228219520 is a wasteful number, since it uses less digits than its factorization.

32228219520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 32228219520 in words is "thirty-two billion, two hundred twenty-eight million, two hundred nineteen thousand, five hundred twenty".