28417635840 has 320 divisors, whose sum is σ = 99488632320. Its totient is φ = 6862602240.

The previous prime is 28417635791. The next prime is 28417635847. The reversal of 28417635840 is 4853671482.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28417635840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28417635847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30327852 + ... + 30328788.

It is an arithmetic number, because the mean of its divisors is an integer number (310901976).

Almost surely, 2^28417635840 is an apocalyptic number.

28417635840 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 28417635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49744316160).

28417635840 is an abundant number, since it is smaller than the sum of its proper divisors (71070996480).

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

28417635840 is a wasteful number, since it uses less digits than its factorization.

28417635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 28417635840 in words is "twenty-eight billion, four hundred seventeen million, six hundred thirty-five thousand, eight hundred forty".