6002728152 has 256 divisors, whose sum is σ = 17146183680. Its totient is φ = 1741824000.

The previous prime is 6002728133. The next prime is 6002728213. The reversal of 6002728152 is 2518272006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47265513 + ... + 47265639.

It is an arithmetic number, because the mean of its divisors is an integer number (66977280).

Almost surely, 2^6002728152 is an apocalyptic number.

6002728152 is a gapful number since it is divisible by the number (62) 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 6002728152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8573091840).

6002728152 is an abundant number, since it is smaller than the sum of its proper divisors (11143455528).

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

6002728152 is a wasteful number, since it uses less digits than its factorization.

6002728152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 6002728152 is about 77477.2750682418. The cubic root of 6002728152 is about 1817.3959611660.

The spelling of 6002728152 in words is "six billion, two million, seven hundred twenty-eight thousand, one hundred fifty-two".