5428824720 has 240 divisors, whose sum is σ = 18766048896. Its totient is φ = 1297049600.

The previous prime is 5428824707. The next prime is 5428824721. The reversal of 5428824720 is 274288245.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5428824721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2060524 + ... + 2063156.

Almost surely, 2^5428824720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5428824720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9383024448).

5428824720 is an abundant number, since it is smaller than the sum of its proper divisors (13337224176).

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

5428824720 is a wasteful number, since it uses less digits than its factorization.

5428824720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The square root of 5428824720 is about 73680.5586298041. The cubic root of 5428824720 is about 1757.5267343688.

The spelling of 5428824720 in words is "five billion, four hundred twenty-eight million, eight hundred twenty-four thousand, seven hundred twenty".