5293728 has 96 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 1601280.

The previous prime is 5293721. The next prime is 5293753. The reversal of 5293728 is 8273925.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5293728² = 56047112275968, which contains 22 as substring.

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

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 5293692 and 5293701.

It is not an unprimeable number, because it can be changed into a prime (5293721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9226 + ... + 9782.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

Almost surely, 2^5293728 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 5293728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

5293728 is an abundant number, since it is smaller than the sum of its proper divisors (11580192).

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

5293728 is a wasteful number, since it uses less digits than its factorization.

5293728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 573 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 5293728 is about 2300.8102920493. The cubic root of 5293728 is about 174.2825374064.

The spelling of 5293728 in words is "five million, two hundred ninety-three thousand, seven hundred twenty-eight".