28073404800 has 576 divisors, whose sum is σ = 115465109760. Its totient is φ = 6361804800.

The previous prime is 28073404787. The next prime is 28073404813. The reversal of 28073404800 is 840437082.

It is an interprime number because it is at equal distance from previous prime (28073404787) and next prime (28073404813).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26409069 + ... + 26410131.

It is an arithmetic number, because the mean of its divisors is an integer number (200460260).

Almost surely, 2^28073404800 is an apocalyptic number.

28073404800 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 28073404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57732554880).

28073404800 is an abundant number, since it is smaller than the sum of its proper divisors (87391704960).

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

28073404800 is a wasteful number, since it uses less digits than its factorization.

28073404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 28073404800 in words is "twenty-eight billion, seventy-three million, four hundred four thousand, eight hundred".