52893280 has 96 divisors (see below), whose sum is σ = 139835808. Its totient is φ = 18739200.

The previous prime is 52893271. The next prime is 52893289. The reversal of 52893280 is 8239825.

It is an interprime number because it is at equal distance from previous prime (52893271) and next prime (52893289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52893289) 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 15 ways as a sum of consecutive naturals, for example, 71794 + ... + 72526.

It is an arithmetic number, because the mean of its divisors is an integer number (1456623).

Almost surely, 2^52893280 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 52893280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69917904).

52893280 is an abundant number, since it is smaller than the sum of its proper divisors (86942528).

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

52893280 is a wasteful number, since it uses less digits than its factorization.

52893280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 52893280 is about 7272.7766361961. The cubic root of 52893280 is about 375.3762860010.

The spelling of 52893280 in words is "fifty-two million, eight hundred ninety-three thousand, two hundred eighty".