28894370400 has 864 divisors, whose sum is σ = 123061498560. Its totient is φ = 6239600640.

The previous prime is 28894370387. The next prime is 28894370419. The reversal of 28894370400 is 407349882.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77464614 + ... + 77464986.

It is an arithmetic number, because the mean of its divisors is an integer number (142432290).

Almost surely, 2^28894370400 is an apocalyptic number.

28894370400 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 28894370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61530749280).

28894370400 is an abundant number, since it is smaller than the sum of its proper divisors (94167128160).

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

28894370400 is a wasteful number, since it uses less digits than its factorization.

28894370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 28894370400 in words is "twenty-eight billion, eight hundred ninety-four million, three hundred seventy thousand, four hundred".