28622840400 has 1350 divisors, whose sum is σ = 132228939150. Its totient is φ = 5907686400.

The previous prime is 28622840369. The next prime is 28622840401. The reversal of 28622840400 is 404822682.

It is a happy number.

28622840400 is a `hidden beast` number, since 28 + 6 + 228 + 4 + 0 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 30735936 + 28592104464 = 5544^2 + 169092^2 .

It is a tau number, because it is divible by the number of its divisors (1350).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28622840401) by changing a digit.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 192099526 + ... + 192099674.

Almost surely, 2^28622840400 is an apocalyptic number.

28622840400 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 28622840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66114469575).

28622840400 is an abundant number, since it is smaller than the sum of its proper divisors (103606098750).

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

28622840400 is a wasteful number, since it uses less digits than its factorization.

28622840400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 28622840400 in words is "twenty-eight billion, six hundred twenty-two million, eight hundred forty thousand, four hundred".