5174928000 has 768 divisors, whose sum is σ = 21198602880. Its totient is φ = 1254528000.

The previous prime is 5174927971. The next prime is 5174928007. The reversal of 5174928000 is 8294715.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5174928007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 470447995 + ... + 470448005.

Almost surely, 2^5174928000 is an apocalyptic number.

5174928000 is a gapful number since it is divisible by the number (50) 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 5174928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10599301440).

5174928000 is an abundant number, since it is smaller than the sum of its proper divisors (16023674880).

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

5174928000 is an frugal number, since it uses more digits than its factorization.

5174928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5174928000 is about 71936.9724133564. The cubic root of 5174928000 is about 1729.6893201779.

The spelling of 5174928000 in words is "five billion, one hundred seventy-four million, nine hundred twenty-eight thousand".