22435273728 has 440 divisors, whose sum is σ = 81106594272. Its totient is φ = 6030360576.

The previous prime is 22435273687. The next prime is 22435273789. The reversal of 22435273728 is 82737253422.

22435273728 is a `hidden beast` number, since 224 + 3 + 52 + 7 + 372 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9869200 + ... + 9871472.

Almost surely, 2^22435273728 is an apocalyptic number.

22435273728 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 22435273728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40553297136).

22435273728 is an abundant number, since it is smaller than the sum of its proper divisors (58671320544).

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

22435273728 is a wasteful number, since it uses less digits than its factorization.

22435273728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2302 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 22435273728 in words is "twenty-two billion, four hundred thirty-five million, two hundred seventy-three thousand, seven hundred twenty-eight".