2715769728 has 512 divisors, whose sum is σ = 9792000000. Its totient is φ = 739694592.

The previous prime is 2715769717. The next prime is 2715769729. The reversal of 2715769728 is 8279675172.

It is a happy number.

2715769728 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

Its product of digits (2963520) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2715769729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34376793 + ... + 34376871.

It is an arithmetic number, because the mean of its divisors is an integer number (19125000).

Almost surely, 2^2715769728 is an apocalyptic number.

2715769728 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 2715769728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896000000).

2715769728 is an abundant number, since it is smaller than the sum of its proper divisors (7076230272).

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

2715769728 is an equidigital number, since it uses as much as digits as its factorization.

2715769728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The square root of 2715769728 is about 52113.0475792771. The cubic root of 2715769728 is about 1395.1823741215.

The spelling of 2715769728 in words is "two billion, seven hundred fifteen million, seven hundred sixty-nine thousand, seven hundred twenty-eight".