28602806490720 has 1536 divisors, whose sum is σ = 129041753702400. Its totient is φ = 5742644428800.

The previous prime is 28602806490653. The next prime is 28602806490787. The reversal of 28602806490720 is 2709460820682.

28602806490720 is a `hidden beast` number, since 2 + 8 + 6 + 0 + 2 + 80 + 6 + 490 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28602806490653) and next prime (28602806490787).

It is a super-2 number, since 2×28602806490720² (a number of 28 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 7929803157 + ... + 7929806763.

It is an arithmetic number, because the mean of its divisors is an integer number (84011558400).

Almost surely, 2^{28602806490720} is an apocalyptic number.

28602806490720 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 28602806490720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64520876851200).

28602806490720 is an abundant number, since it is smaller than the sum of its proper divisors (100438947211680).

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

28602806490720 is a wasteful number, since it uses less digits than its factorization.

28602806490720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4449 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 28602806490720 in words is "twenty-eight trillion, six hundred two billion, eight hundred six million, four hundred ninety thousand, seven hundred twenty".