28569239389152 has 1152 divisors, whose sum is σ = 109587081461760. Its totient is φ = 7027295616000.

The previous prime is 28569239389133. The next prime is 28569239389189. The reversal of 28569239389152 is 25198393296582.

28569239389152 is a `hidden beast` number, since 2 + 8 + 5 + 6 + 9 + 2 + 393 + 89 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4555767777 + ... + 4555774047.

It is an arithmetic number, because the mean of its divisors is an integer number (95127674880).

Almost surely, 2^{28569239389152} is an apocalyptic number.

28569239389152 is a gapful number since it is divisible by the number (22) 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 28569239389152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54793540730880).

28569239389152 is an abundant number, since it is smaller than the sum of its proper divisors (81017842072608).

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

28569239389152 is a wasteful number, since it uses less digits than its factorization.

28569239389152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6433 (or 6372 counting only the distinct ones).

The product of its digits is 503884800, while the sum is 72.

The spelling of 28569239389152 in words is "twenty-eight trillion, five hundred sixty-nine billion, two hundred thirty-nine million, three hundred eighty-nine thousand, one hundred fifty-two".