22880003328 has 864 divisors, whose sum is σ = 86782026240. Its totient is φ = 5635768320.

The previous prime is 22880003327. The next prime is 22880003339. The reversal of 22880003328 is 82330008822.

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

It is a junction number, because it is equal to n+sod(n) for n = 22880003292 and 22880003301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22880003327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322253533 + ... + 322253603.

It is an arithmetic number, because the mean of its divisors is an integer number (100442160).

Almost surely, 2^22880003328 is an apocalyptic number.

22880003328 is a gapful number since it is divisible by the number (28) 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 22880003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43391013120).

22880003328 is an abundant number, since it is smaller than the sum of its proper divisors (63902022912).

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

22880003328 is a wasteful number, since it uses less digits than its factorization.

22880003328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 22880003328 in words is "twenty-two billion, eight hundred eighty million, three thousand, three hundred twenty-eight".