28873167600 has 480 divisors, whose sum is σ = 101441007360. Its totient is φ = 6994944000.

The previous prime is 28873167577. The next prime is 28873167611. The reversal of 28873167600 is 676137882.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28873167600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62631370 + ... + 62631830.

It is an arithmetic number, because the mean of its divisors is an integer number (211335432).

Almost surely, 2^28873167600 is an apocalyptic number.

28873167600 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 28873167600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50720503680).

28873167600 is an abundant number, since it is smaller than the sum of its proper divisors (72567839760).

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

28873167600 is a wasteful number, since it uses less digits than its factorization.

28873167600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 28873167600 in words is "twenty-eight billion, eight hundred seventy-three million, one hundred sixty-seven thousand, six hundred".