2023727328 has 312 divisors, whose sum is σ = 7231844592. Its totient is φ = 544195584.

The previous prime is 2023727327. The next prime is 2023727341. The reversal of 2023727328 is 8237273202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2023727292 and 2023727301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023727327) by changing a digit.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 119042776 + ... + 119042792.

Almost surely, 2^2023727328 is an apocalyptic number.

2023727328 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 2023727328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615922296).

2023727328 is an abundant number, since it is smaller than the sum of its proper divisors (5208117264).

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

2023727328 is an frugal number, since it uses more digits than its factorization.

2023727328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2023727328 is about 44985.8569774991. The cubic root of 2023727328 is about 1264.8839021283.

The spelling of 2023727328 in words is "two billion, twenty-three million, seven hundred twenty-seven thousand, three hundred twenty-eight".