28567939720320 has 1536 divisors, whose sum is σ = 133765483138560. Its totient is φ = 5425201152000.

The previous prime is 28567939720277. The next prime is 28567939720381. The reversal of 28567939720320 is 2302793976582.

28567939720320 is a `hidden beast` number, since 2 + 8 + 567 + 9 + 39 + 7 + 2 + 0 + 32 + 0 = 666.

It is a super-2 number, since 2×28567939720320² (a number of 28 digits) contains 22 as substring.

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

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, 582317232 + ... + 582366288.

It is an arithmetic number, because the mean of its divisors is an integer number (87086903085).

Almost surely, 2^{28567939720320} is an apocalyptic number.

28567939720320 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 28567939720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66882741569280).

28567939720320 is an abundant number, since it is smaller than the sum of its proper divisors (105197543418240).

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

28567939720320 is a wasteful number, since it uses less digits than its factorization.

28567939720320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49214 (or 49199 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 28567939720320 in words is "twenty-eight trillion, five hundred sixty-seven billion, nine hundred thirty-nine million, seven hundred twenty thousand, three hundred twenty".