2028627514368 has 616 divisors, whose sum is σ = 7483486924928. Its totient is φ = 535004725248.

The previous prime is 2028627514337. The next prime is 2028627514411. The reversal of 2028627514368 is 8634157268202.

2028627514368 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 6 + 275 + 1 + 4 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 67916205 + ... + 67946067.

Almost surely, 2^{2028627514368} is an apocalyptic number.

2028627514368 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 2028627514368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741743462464).

2028627514368 is an abundant number, since it is smaller than the sum of its proper divisors (5454859410560).

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

2028627514368 is an equidigital number, since it uses as much as digits as its factorization.

2028627514368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29921 (or 29888 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2028627514368 in words is "two trillion, twenty-eight billion, six hundred twenty-seven million, five hundred fourteen thousand, three hundred sixty-eight".