28164202639800 has 192 divisors, whose sum is σ = 90380782402560. Its totient is φ = 7247589888000.

The previous prime is 28164202639799. The next prime is 28164202639801. The reversal of 28164202639800 is 893620246182.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28164202639799) and next prime (28164202639801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28164202639801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4421035 + ... + 8710565.

It is an arithmetic number, because the mean of its divisors is an integer number (470733241680).

Almost surely, 2^{28164202639800} is an apocalyptic number.

28164202639800 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 28164202639800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45190391201280).

28164202639800 is an abundant number, since it is smaller than the sum of its proper divisors (62216579762760).

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

28164202639800 is a wasteful number, since it uses less digits than its factorization.

28164202639800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289934 (or 4289925 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 28164202639800 in words is "twenty-eight trillion, one hundred sixty-four billion, two hundred two million, six hundred thirty-nine thousand, eight hundred".