5192928 has 144 divisors (see below), whose sum is σ = 16969680. Its totient is φ = 1492992.

The previous prime is 5192927. The next prime is 5192959. The reversal of 5192928 is 8292915.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 5192892 and 5192901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5192927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71100 + ... + 71172.

It is an arithmetic number, because the mean of its divisors is an integer number (117845).

Almost surely, 2^5192928 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 5192928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8484840).

5192928 is an abundant number, since it is smaller than the sum of its proper divisors (11776752).

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

5192928 is a wasteful number, since it uses less digits than its factorization.

5192928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 110 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 5192928 is about 2278.7996840442. The cubic root of 5192928 is about 173.1692464247.

The spelling of 5192928 in words is "five million, one hundred ninety-two thousand, nine hundred twenty-eight".