5309928 has 128 divisors (see below), whose sum is σ = 16665600. Its totient is φ = 1555200.

The previous prime is 5309923. The next prime is 5309957. The reversal of 5309928 is 8299035.

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

It is a junction number, because it is equal to n+sod(n) for n = 5309892 and 5309901.

It is not an unprimeable number, because it can be changed into a prime (5309921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87018 + ... + 87078.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

Almost surely, 2^5309928 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 5309928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332800).

5309928 is an abundant number, since it is smaller than the sum of its proper divisors (11355672).

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

5309928 is a wasteful number, since it uses less digits than its factorization.

5309928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5309928 is about 2304.3281016383. The cubic root of 5309928 is about 174.4601376367.

The spelling of 5309928 in words is "five million, three hundred nine thousand, nine hundred twenty-eight".