22724771328 has 240 divisors, whose sum is σ = 78215993856. Its totient is φ = 6210293760.

The previous prime is 22724771317. The next prime is 22724771339. The reversal of 22724771328 is 82317742722.

It is an interprime number because it is at equal distance from previous prime (22724771317) and next prime (22724771339).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726573 + ... + 757203.

Almost surely, 2^22724771328 is an apocalyptic number.

22724771328 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 22724771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39107996928).

22724771328 is an abundant number, since it is smaller than the sum of its proper divisors (55491222528).

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

22724771328 is a wasteful number, since it uses less digits than its factorization.

22724771328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30685 (or 30666 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The spelling of 22724771328 in words is "twenty-two billion, seven hundred twenty-four million, seven hundred seventy-one thousand, three hundred twenty-eight".