5709178728 has 320 divisors, whose sum is σ = 18347472000. Its totient is φ = 1642636800.

The previous prime is 5709178721. The next prime is 5709178753. The reversal of 5709178728 is 8278719075.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (5709178721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14676358 + ... + 14676746.

It is an arithmetic number, because the mean of its divisors is an integer number (57335850).

Almost surely, 2^5709178728 is an apocalyptic number.

5709178728 is a gapful number since it is divisible by the number (58) 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 5709178728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9173736000).

5709178728 is an abundant number, since it is smaller than the sum of its proper divisors (12638293272).

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

5709178728 is a wasteful number, since it uses less digits than its factorization.

5709178728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The square root of 5709178728 is about 75559.1075119340. The cubic root of 5709178728 is about 1787.2743102540.

The spelling of 5709178728 in words is "five billion, seven hundred nine million, one hundred seventy-eight thousand, seven hundred twenty-eight".