538837824 has 112 divisors (see below), whose sum is σ = 1634508288. Its totient is φ = 153466368.

The previous prime is 538837811. The next prime is 538837843. The reversal of 538837824 is 428738835.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 788587 + ... + 789269.

It is an arithmetic number, because the mean of its divisors is an integer number (14593824).

Almost surely, 2^538837824 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 538837824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817254144).

538837824 is an abundant number, since it is smaller than the sum of its proper divisors (1095670464).

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

538837824 is a wasteful number, since it uses less digits than its factorization.

538837824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1282 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 538837824 is about 23212.8805623085. The cubic root of 538837824 is about 813.7406744550.

The spelling of 538837824 in words is "five hundred thirty-eight million, eight hundred thirty-seven thousand, eight hundred twenty-four".