2338172928 has 624 divisors, whose sum is σ = 9016128576. Its totient is φ = 566231040.

The previous prime is 2338172917. The next prime is 2338172959. The reversal of 2338172928 is 8292718332.

It is a tau number, because it is divible by the number of its divisors (624).

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

Its product of digits (290304) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57028588 + ... + 57028628.

It is an arithmetic number, because the mean of its divisors is an integer number (14448924).

Almost surely, 2^2338172928 is an apocalyptic number.

2338172928 is a gapful number since it is divisible by the number (28) 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 2338172928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508064288).

2338172928 is an abundant number, since it is smaller than the sum of its proper divisors (6677955648).

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

2338172928 is a wasteful number, since it uses less digits than its factorization.

2338172928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 2338172928 is about 48354.6577694435. The cubic root of 2338172928 is about 1327.2687705188.

The spelling of 2338172928 in words is "two billion, three hundred thirty-eight million, one hundred seventy-two thousand, nine hundred twenty-eight".