52733824 has 128 divisors (see below), whose sum is σ = 128177280. Its totient is φ = 21288960.

The previous prime is 52733819. The next prime is 52733833. The reversal of 52733824 is 42833725.

52733824 = T₁₂₂₁ + T₁₂₂₂ + ... + T₁₂₈₇.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 52733824.

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, 787039 + ... + 787105.

It is an arithmetic number, because the mean of its divisors is an integer number (1001385).

Almost surely, 2^52733824 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 52733824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64088640).

52733824 is an abundant number, since it is smaller than the sum of its proper divisors (75443456).

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

52733824 is a wasteful number, since it uses less digits than its factorization.

52733824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its digits is 40320, while the sum is 34.

The square root of 52733824 is about 7261.8058360163. The cubic root of 52733824 is about 374.9986939214.

Subtracting from 52733824 its reverse (42833725), we obtain a palindrome (9900099).

The spelling of 52733824 in words is "fifty-two million, seven hundred thirty-three thousand, eight hundred twenty-four".