3028738478528 has 224 divisors, whose sum is σ = 7199210188800. Its totient is φ = 1237146992640.

The previous prime is 3028738478461. The next prime is 3028738478543. The reversal of 3028738478528 is 8258748378203.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3028738478528² (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 517111376 + ... + 517117232.

It is an arithmetic number, because the mean of its divisors is an integer number (32139331200).

Almost surely, 2^{3028738478528} 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 3028738478528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599605094400).

3028738478528 is an abundant number, since it is smaller than the sum of its proper divisors (4170471710272).

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

3028738478528 is a wasteful number, since it uses less digits than its factorization.

3028738478528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6563 (or 6553 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 65.

The spelling of 3028738478528 in words is "three trillion, twenty-eight billion, seven hundred thirty-eight million, four hundred seventy-eight thousand, five hundred twenty-eight".