6058032288 has 432 divisors, whose sum is σ = 21007867104. Its totient is φ = 1510978560.

The previous prime is 6058032283. The next prime is 6058032293. The reversal of 6058032288 is 8822308506.

It is an interprime number because it is at equal distance from previous prime (6058032283) and next prime (6058032293).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6058032283) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114302470 + ... + 114302522.

It is an arithmetic number, because the mean of its divisors is an integer number (48629322).

Almost surely, 2^6058032288 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 6058032288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10503933552).

6058032288 is an abundant number, since it is smaller than the sum of its proper divisors (14949834816).

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

6058032288 is a wasteful number, since it uses less digits than its factorization.

6058032288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 6058032288 is about 77833.3623069182. The cubic root of 6058032288 is about 1822.9602318790.

The spelling of 6058032288 in words is "six billion, fifty-eight million, thirty-two thousand, two hundred eighty-eight".