1628813852256 has 96 divisors (see below), whose sum is σ = 4352431104000. Its totient is φ = 533258219520.

The previous prime is 1628813852243. The next prime is 1628813852257. The reversal of 1628813852256 is 6522583188261.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1628813852196 and 1628813852205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628813852257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886320 + ... + 2010768.

It is an arithmetic number, because the mean of its divisors is an integer number (45337824000).

Almost surely, 2^{1628813852256} is an apocalyptic number.

1628813852256 is a gapful number since it is divisible by the number (16) 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 1628813852256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176215552000).

1628813852256 is an abundant number, since it is smaller than the sum of its proper divisors (2723617251744).

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

1628813852256 is a wasteful number, since it uses less digits than its factorization.

1628813852256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124732 (or 1124724 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 57.

The spelling of 1628813852256 in words is "one trillion, six hundred twenty-eight billion, eight hundred thirteen million, eight hundred fifty-two thousand, two hundred fifty-six".