2028509413728 has 192 divisors, whose sum is σ = 6145084528128. Its totient is φ = 573906862080.

The previous prime is 2028509413607. The next prime is 2028509413739. The reversal of 2028509413728 is 8273149058202.

It is a super-2 number, since 2×2028509413728² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218655426 + ... + 218664702.

It is an arithmetic number, because the mean of its divisors is an integer number (32005648584).

Almost surely, 2^{2028509413728} is an apocalyptic number.

2028509413728 is a gapful number since it is divisible by the number (28) 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 2028509413728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072542264064).

2028509413728 is an abundant number, since it is smaller than the sum of its proper divisors (4116575114400).

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

2028509413728 is a wasteful number, since it uses less digits than its factorization.

2028509413728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12445 (or 12437 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 2028509413728 in words is "two trillion, twenty-eight billion, five hundred nine million, four hundred thirteen thousand, seven hundred twenty-eight".