3128767488 has 264 divisors, whose sum is σ = 11266032960. Its totient is φ = 812482560.

The previous prime is 3128767469. The next prime is 3128767489. The reversal of 3128767488 is 8847678213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3128767489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707428 + ... + 711836.

Almost surely, 2^3128767488 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 3128767488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5633016480).

3128767488 is an abundant number, since it is smaller than the sum of its proper divisors (8137265472).

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

3128767488 is a wasteful number, since it uses less digits than its factorization.

3128767488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453 (or 4432 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 3128767488 is about 55935.3867243268. The cubic root of 3128767488 is about 1462.5961639157.

The spelling of 3128767488 in words is "three billion, one hundred twenty-eight million, seven hundred sixty-seven thousand, four hundred eighty-eight".