28822828869900 has 432 divisors, whose sum is σ = 97615898016000. Its totient is φ = 7071348211200.

The previous prime is 28822828869883. The next prime is 28822828869911. The reversal of 28822828869900 is 996882822882.

28822828869900 is a `hidden beast` number, since 288 + 2 + 2 + 8 + 288 + 69 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×28822828869900² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5155216105 + ... + 5155221695.

Almost surely, 2^{28822828869900} is an apocalyptic number.

28822828869900 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 28822828869900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48807949008000).

28822828869900 is an abundant number, since it is smaller than the sum of its proper divisors (68793069146100).

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

28822828869900 is a wasteful number, since it uses less digits than its factorization.

28822828869900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7006 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 254803968, while the sum is 72.

The spelling of 28822828869900 in words is "twenty-eight trillion, eight hundred twenty-two billion, eight hundred twenty-eight million, eight hundred sixty-nine thousand, nine hundred".