28167347799360 has 5376 divisors, whose sum is σ = 139740217344000. Its totient is φ = 5333116723200.

The previous prime is 28167347799319. The next prime is 28167347799473. The reversal of 28167347799360 is 6399774376182.

28167347799360 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 7 + 3 + 477 + 9 + 93 + 60 = 666.

It is a super-2 number, since 2×28167347799360² (a number of 28 digits) contains 22 as substring.

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 767 ways as a sum of consecutive naturals, for example, 172805814639 + ... + 172805814801.

It is an arithmetic number, because the mean of its divisors is an integer number (25993344000).

Almost surely, 2^{28167347799360} is an apocalyptic number.

28167347799360 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 28167347799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69870108672000).

28167347799360 is an abundant number, since it is smaller than the sum of its proper divisors (111572869544640).

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

28167347799360 is a wasteful number, since it uses less digits than its factorization.

28167347799360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 72.

The spelling of 28167347799360 in words is "twenty-eight trillion, one hundred sixty-seven billion, three hundred forty-seven million, seven hundred ninety-nine thousand, three hundred sixty".