6028431274800 has 1920 divisors, whose sum is σ = 26019468933120. Its totient is φ = 1307669299200.

The previous prime is 6028431274771. The next prime is 6028431274847. The reversal of 6028431274800 is 84721348206.

It is a happy number.

6028431274800 is a `hidden beast` number, since 6 + 0 + 2 + 8 + 43 + 127 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10823036122 + ... + 10823036678.

It is an arithmetic number, because the mean of its divisors is an integer number (13551806736).

Almost surely, 2^{6028431274800} is an apocalyptic number.

6028431274800 is a gapful number since it is divisible by the number (60) 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 6028431274800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13009734466560).

6028431274800 is an abundant number, since it is smaller than the sum of its proper divisors (19991037658320).

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

6028431274800 is a wasteful number, since it uses less digits than its factorization.

6028431274800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 6028431274800 in words is "six trillion, twenty-eight billion, four hundred thirty-one million, two hundred seventy-four thousand, eight hundred".