28799712000 has 720 divisors, whose sum is σ = 110191745664. Its totient is φ = 7464960000.

The previous prime is 28799711999. The next prime is 28799712013. The reversal of 28799712000 is 21799782.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×28799712000² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 106271865 + ... + 106272135.

Almost surely, 2^28799712000 is an apocalyptic number.

28799712000 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 28799712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55095872832).

28799712000 is an abundant number, since it is smaller than the sum of its proper divisors (81392033664).

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

28799712000 is an equidigital number, since it uses as much as digits as its factorization.

28799712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 28799712000 in words is "twenty-eight billion, seven hundred ninety-nine million, seven hundred twelve thousand".