28836671001600 has 4224 divisors, whose sum is σ = 136988169338880. Its totient is φ = 5159780352000.

The previous prime is 28836671001599. The next prime is 28836671001667. The reversal of 28836671001600 is 610017663882.

It is a tau number, because it is divible by the number of its divisors (4224).

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 28836671001600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 59212876557 + ... + 59212877043.

Almost surely, 2^{28836671001600} is an apocalyptic number.

28836671001600 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 28836671001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68494084669440).

28836671001600 is an abundant number, since it is smaller than the sum of its proper divisors (108151498337280).

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

28836671001600 is a wasteful number, since it uses less digits than its factorization.

28836671001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 28836671001600 in words is "twenty-eight trillion, eight hundred thirty-six billion, six hundred seventy-one million, one thousand, six hundred".