28819824600 has 384 divisors, whose sum is σ = 108803036160. Its totient is φ = 6160220160.

The previous prime is 28819824589. The next prime is 28819824611. The reversal of 28819824600 is 642891882.

It is an interprime number because it is at equal distance from previous prime (28819824589) and next prime (28819824611).

It is a self number, because there is not a number n which added to its sum of digits gives 28819824600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11922592 + ... + 11925008.

It is an arithmetic number, because the mean of its divisors is an integer number (283341240).

Almost surely, 2^28819824600 is an apocalyptic number.

28819824600 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 28819824600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54401518080).

28819824600 is an abundant number, since it is smaller than the sum of its proper divisors (79983211560).

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

28819824600 is a wasteful number, since it uses less digits than its factorization.

28819824600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 28819824600 in words is "twenty-eight billion, eight hundred nineteen million, eight hundred twenty-four thousand, six hundred".