52908000 has 96 divisors (see below), whose sum is σ = 173365920. Its totient is φ = 14105600.

The previous prime is 52907983. The next prime is 52908001. The reversal of 52908000 is 80925.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52908001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9796 + ... + 14204.

It is an arithmetic number, because the mean of its divisors is an integer number (1805895).

Almost surely, 2^52908000 is an apocalyptic number.

52908000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86682960).

52908000 is an abundant number, since it is smaller than the sum of its proper divisors (120457920).

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

52908000 is a wasteful number, since it uses less digits than its factorization.

52908000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4437 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 52908000 is about 7273.7885589286. The cubic root of 52908000 is about 375.4111047053.

Adding to 52908000 its reverse (80925), we get a palindrome (52988925).

The spelling of 52908000 in words is "fifty-two million, nine hundred eight thousand".