537888000 has 288 divisors, whose sum is σ = 1928489472. Its totient is φ = 132096000.

The previous prime is 537887971. The next prime is 537888031. The reversal of 537888000 is 888735.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 537888000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1247785 + ... + 1248215.

It is an arithmetic number, because the mean of its divisors is an integer number (6696144).

Almost surely, 2^537888000 is an apocalyptic number.

537888000 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 537888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964244736).

537888000 is an abundant number, since it is smaller than the sum of its proper divisors (1390601472).

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

537888000 is a wasteful number, since it uses less digits than its factorization.

537888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 537888000 is about 23192.4125523845. The cubic root of 537888000 is about 813.2622590107.

The spelling of 537888000 in words is "five hundred thirty-seven million, eight hundred eighty-eight thousand".