28991001600 has 1320 divisors, whose sum is σ = 123835574016. Its totient is φ = 6635520000.

The previous prime is 28991001551. The next prime is 28991001617. The reversal of 28991001600 is 610019982.

It is a tau number, because it is divible by the number of its divisors (1320).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 707097580 + ... + 707097620.

Almost surely, 2^28991001600 is an apocalyptic number.

28991001600 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 28991001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61917787008).

28991001600 is an abundant number, since it is smaller than the sum of its proper divisors (94844572416).

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

28991001600 is a wasteful number, since it uses less digits than its factorization.

28991001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 28991001600 in words is "twenty-eight billion, nine hundred ninety-one million, one thousand, six hundred".