2028266787456 has 1152 divisors, whose sum is σ = 7612009732800. Its totient is φ = 529862860800.

The previous prime is 2028266787439. The next prime is 2028266787461. The reversal of 2028266787456 is 6547876628202.

2028266787456 is a `hidden beast` number, since 2 + 0 + 28 + 26 + 67 + 87 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2028266787456² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2028266787393 and 2028266787402.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3749106546 + ... + 3749107086.

Almost surely, 2^{2028266787456} is an apocalyptic number.

2028266787456 is a gapful number since it is divisible by the number (26) 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 2028266787456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806004866400).

2028266787456 is an abundant number, since it is smaller than the sum of its proper divisors (5583742945344).

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

2028266787456 is a wasteful number, since it uses less digits than its factorization.

2028266787456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 2028266787456 in words is "two trillion, twenty-eight billion, two hundred sixty-six million, seven hundred eighty-seven thousand, four hundred fifty-six".