28914735360 has 576 divisors, whose sum is σ = 111553344000. Its totient is φ = 6372753408.

The previous prime is 28914735349. The next prime is 28914735371. The reversal of 28914735360 is 6353741982.

It is an interprime number because it is at equal distance from previous prime (28914735349) and next prime (28914735371).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38196102 + ... + 38196858.

It is an arithmetic number, because the mean of its divisors is an integer number (193669000).

It is a 1-persistent number, because it is pandigital, but 2⋅28914735360 = 57829470720 is not.

Almost surely, 2^28914735360 is an apocalyptic number.

28914735360 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 28914735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55776672000).

28914735360 is an abundant number, since it is smaller than the sum of its proper divisors (82638608640).

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

28914735360 is an equidigital number, since it uses as much as digits as its factorization.

28914735360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 28914735360 in words is "twenty-eight billion, nine hundred fourteen million, seven hundred thirty-five thousand, three hundred sixty".