22028234400 has 216 divisors, whose sum is σ = 78480344124. Its totient is φ = 5813452800.

The previous prime is 22028234363. The next prime is 22028234401. The reversal of 22028234400 is 443282022.

22028234400 is a `hidden beast` number, since 2 + 2 + 0 + 28 + 234 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1468115856 + 20560118544 = 38316^2 + 143388^2 .

It is a super-2 number, since 2×22028234400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22028234401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 682630 + ... + 714170.

Almost surely, 2^22028234400 is an apocalyptic number.

22028234400 is a gapful number since it is divisible by the number (20) 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 22028234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39240172062).

22028234400 is an abundant number, since it is smaller than the sum of its proper divisors (56452109724).

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

22028234400 is a wasteful number, since it uses less digits than its factorization.

22028234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31664 (or 31648 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 22028234400 in words is "twenty-two billion, twenty-eight million, two hundred thirty-four thousand, four hundred".