2028357998784 has 672 divisors, whose sum is σ = 6622482746880. Its totient is φ = 592409106432.

The previous prime is 2028357998767. The next prime is 2028357998791. The reversal of 2028357998784 is 4878997538202.

2028357998784 is a `hidden beast` number, since 20 + 28 + 3 + 579 + 9 + 8 + 7 + 8 + 4 = 666.

It is a super-2 number, since 2×2028357998784² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6607029159 + ... + 6607029465.

It is an arithmetic number, because the mean of its divisors is an integer number (9854885040).

Almost surely, 2^{2028357998784} is an apocalyptic number.

2028357998784 is a gapful number since it is divisible by the number (24) 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 2028357998784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311241373440).

2028357998784 is an abundant number, since it is smaller than the sum of its proper divisors (4594124748096).

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

2028357998784 is a wasteful number, since it uses less digits than its factorization.

2028357998784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 2028357998784 in words is "two trillion, twenty-eight billion, three hundred fifty-seven million, nine hundred ninety-eight thousand, seven hundred eighty-four".