5633928 has 32 divisors (see below), whose sum is σ = 15650400. Its totient is φ = 1877904.

The previous prime is 5633923. The next prime is 5633939. The reversal of 5633928 is 8293365.

5633928 is a `hidden beast` number, since 563 + 3 + 92 + 8 = 666.

It is a super-2 number, since 2×5633928² = 63482289418368, which contains 22 as substring.

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 5³ + 6⁷ + 3¹² + 3¹⁴ + 9⁴ + 2⁷ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 5633892 and 5633901.

It is not an unprimeable number, because it can be changed into a prime (5633923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12826 + ... + 13257.

It is an arithmetic number, because the mean of its divisors is an integer number (489075).

Almost surely, 2^5633928 is an apocalyptic number.

It is an amenable number.

5633928 is an abundant number, since it is smaller than the sum of its proper divisors (10016472).

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

5633928 is a wasteful number, since it uses less digits than its factorization.

5633928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26098 (or 26088 counting only the distinct ones).

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

The square root of 5633928 is about 2373.5896865297. The cubic root of 5633928 is about 177.9387071718.

It can be divided in two parts, 5633 and 928, that added together give a 8-th power (6561 = 3⁸).

The spelling of 5633928 in words is "five million, six hundred thirty-three thousand, nine hundred twenty-eight".