28138368384 has 480 divisors, whose sum is σ = 98587649160. Its totient is φ = 7942717440.

The previous prime is 28138368367. The next prime is 28138368403. The reversal of 28138368384 is 48386383182.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 28138368384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 49278819 + ... + 49279389.

Almost surely, 2^28138368384 is an apocalyptic number.

28138368384 is a gapful number since it is divisible by the number (24) 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 28138368384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49293824580).

28138368384 is an abundant number, since it is smaller than the sum of its proper divisors (70449280776).

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

28138368384 is an equidigital number, since it uses as much as digits as its factorization.

28138368384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 680 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 28138368384 in words is "twenty-eight billion, one hundred thirty-eight million, three hundred sixty-eight thousand, three hundred eighty-four".