5837328 has 60 divisors (see below), whose sum is σ = 18673408. Its totient is φ = 1667520.

The previous prime is 5837317. The next prime is 5837387. The reversal of 5837328 is 8237385.

5837328 is a `hidden beast` number, since 583 + 73 + 2 + 8 = 666.

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 5⁵ + 8² + 3⁷ + 7³ + 3¹⁴ + 2²⁰ + 8² .

It is a junction number, because it is equal to n+sod(n) for n = 5837292 and 5837301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1888 + ... + 3903.

Almost surely, 2^5837328 is an apocalyptic number.

It is an amenable number.

5837328 is an abundant number, since it is smaller than the sum of its proper divisors (12836080).

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

5837328 is a wasteful number, since it uses less digits than its factorization.

5837328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5812 (or 5803 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 5837328 is about 2416.0562907350. The cubic root of 5837328 is about 180.0547981307.

It can be divided in two parts, 583732 and 8, that added together give a triangular number (583740 = T₁₀₈₀).

The spelling of 5837328 in words is "five million, eight hundred thirty-seven thousand, three hundred twenty-eight".