993528 has 24 divisors (see below), whose sum is σ = 2691000. Its totient is φ = 331152.

The previous prime is 993527. The next prime is 993541. The reversal of 993528 is 825399.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 993492 and 993501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993527) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 6828 + ... + 6971.

It is an arithmetic number, because the mean of its divisors is an integer number (112125).

2⁹⁹³⁵²⁸ is an apocalyptic number.

It is an amenable number.

993528 is an abundant number, since it is smaller than the sum of its proper divisors (1697472).

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

993528 is a wasteful number, since it uses less digits than its factorization.

993528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13811 (or 13804 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 993528 is about 996.7587471399. The cubic root of 993528 is about 99.7837995773.

It can be divided in two parts, 993 and 528, that added together give a square (1521 = 39²).

The spelling of 993528 in words is "nine hundred ninety-three thousand, five hundred twenty-eight".