28038673920 has 640 divisors, whose sum is σ = 101822054400. Its totient is φ = 6539968512.

The previous prime is 28038673907. The next prime is 28038673951. The reversal of 28038673920 is 2937683082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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 28038673920.

It is a congruent number.

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, 220776897 + ... + 220777023.

It is an arithmetic number, because the mean of its divisors is an integer number (159096960).

Almost surely, 2^28038673920 is an apocalyptic number.

28038673920 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 28038673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50911027200).

28038673920 is an abundant number, since it is smaller than the sum of its proper divisors (73783380480).

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

28038673920 is a wasteful number, since it uses less digits than its factorization.

28038673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 28038673920 in words is "twenty-eight billion, thirty-eight million, six hundred seventy-three thousand, nine hundred twenty".