28899690624000 has 4224 divisors, whose sum is σ = 133904848896000. Its totient is φ = 6069908275200.

The previous prime is 28899690623981. The next prime is 28899690624017. The reversal of 28899690624000 is 42609699882.

28899690624000 is a `hidden beast` number, since 2 + 8 + 89 + 9 + 6 + 90 + 62 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 145224575901 + ... + 145224576099.

Almost surely, 2^{28899690624000} is an apocalyptic number.

28899690624000 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 28899690624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66952424448000).

28899690624000 is an abundant number, since it is smaller than the sum of its proper divisors (105005158272000).

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

28899690624000 is a wasteful number, since it uses less digits than its factorization.

28899690624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 28899690624000 in words is "twenty-eight trillion, eight hundred ninety-nine billion, six hundred ninety million, six hundred twenty-four thousand".