28709282062080 has 576 divisors, whose sum is σ = 105440559235200. Its totient is φ = 7388347760640.

The previous prime is 28709282062007. The next prime is 28709282062129. The reversal of 28709282062080 is 8026028290782.

28709282062080 is a `hidden beast` number, since 2 + 8 + 7 + 0 + 9 + 2 + 8 + 2 + 0 + 620 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2662946290 + ... + 2662957070.

It is an arithmetic number, because the mean of its divisors is an integer number (183056526450).

Almost surely, 2^{28709282062080} is an apocalyptic number.

28709282062080 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 28709282062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52720279617600).

28709282062080 is an abundant number, since it is smaller than the sum of its proper divisors (76731277173120).

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

28709282062080 is a wasteful number, since it uses less digits than its factorization.

28709282062080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13497 (or 13477 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 28709282062080 in words is "twenty-eight trillion, seven hundred nine billion, two hundred eighty-two million, sixty-two thousand, eighty".