53892384 has 192 divisors, whose sum is σ = 180633600. Its totient is φ = 13685760.

The previous prime is 53892383. The next prime is 53892439. The reversal of 53892384 is 48329835.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53892383) 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 31 ways as a sum of consecutive naturals, for example, 270717 + ... + 270915.

It is an arithmetic number, because the mean of its divisors is an integer number (940800).

Almost surely, 2^53892384 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 53892384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90316800).

53892384 is an abundant number, since it is smaller than the sum of its proper divisors (126741216).

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

53892384 is a wasteful number, since it uses less digits than its factorization.

53892384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 53892384 is about 7341.1432352189. The cubic root of 53892384 is about 377.7250597204.

The spelling of 53892384 in words is "fifty-three million, eight hundred ninety-two thousand, three hundred eighty-four".