6132077028 has 384 divisors, whose sum is σ = 20979302400. Its totient is φ = 1502323200.

The previous prime is 6132077027. The next prime is 6132077053. The reversal of 6132077028 is 8207702316.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6132076983 and 6132077001.

It is not an unprimeable number, because it can be changed into a prime (6132077027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11334438 + ... + 11334978.

It is an arithmetic number, because the mean of its divisors is an integer number (54633600).

Almost surely, 2^6132077028 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 6132077028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10489651200).

6132077028 is an abundant number, since it is smaller than the sum of its proper divisors (14847225372).

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

6132077028 is a wasteful number, since it uses less digits than its factorization.

6132077028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6132077028 is about 78307.5796331364. The cubic root of 6132077028 is about 1830.3572642980.

The spelling of 6132077028 in words is "six billion, one hundred thirty-two million, seventy-seven thousand, twenty-eight".