5336928 has 120 divisors (see below), whose sum is σ = 16465680. Its totient is φ = 1693440.

The previous prime is 5336911. The next prime is 5336953. The reversal of 5336928 is 8296335.

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

It is a d-powerful number, because it can be written as 5² + 3⁷ + 3⁹ + 6⁵ + 9⁷ + 2¹⁸ + 8⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 5336892 and 5336901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75133 + ... + 75203.

It is an arithmetic number, because the mean of its divisors is an integer number (137214).

Almost surely, 2^5336928 is an apocalyptic number.

5336928 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5336928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232840).

5336928 is an abundant number, since it is smaller than the sum of its proper divisors (11128752).

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

5336928 is a wasteful number, since it uses less digits than its factorization.

5336928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 5336928 is about 2310.1792138274. The cubic root of 5336928 is about 174.7553370140.

The spelling of 5336928 in words is "five million, three hundred thirty-six thousand, nine hundred twenty-eight".