5614528920 has 512 divisors, whose sum is σ = 23162388480. Its totient is φ = 1050900480.

The previous prime is 5614528879. The next prime is 5614528921. The reversal of 5614528920 is 298254165.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5614528921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5164617 + ... + 5165703.

It is an arithmetic number, because the mean of its divisors is an integer number (45239040).

Almost surely, 2^5614528920 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 5614528920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11581194240).

5614528920 is an abundant number, since it is smaller than the sum of its proper divisors (17547859560).

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

5614528920 is a wasteful number, since it uses less digits than its factorization.

5614528920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 5614528920 is about 74930.1602827593. The cubic root of 5614528920 is about 1777.3424256137.

The spelling of 5614528920 in words is "five billion, six hundred fourteen million, five hundred twenty-eight thousand, nine hundred twenty".