5135928 has 64 divisors (see below), whose sum is σ = 15456000. Its totient is φ = 1389312.

The previous prime is 5135917. The next prime is 5135953. The reversal of 5135928 is 8295315.

5135928 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2388 + ... + 3996.

It is an arithmetic number, because the mean of its divisors is an integer number (241500).

Almost surely, 2^5135928 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 5135928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728000).

5135928 is an abundant number, since it is smaller than the sum of its proper divisors (10320072).

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

5135928 is a wasteful number, since it uses less digits than its factorization.

5135928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1640 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 5135928 is about 2266.2585907173. The cubic root of 5135928 is about 172.5333184958.

It can be divided in two parts, 513 and 5928, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 5135928 in words is "five million, one hundred thirty-five thousand, nine hundred twenty-eight".