2805145728 has 192 divisors, whose sum is σ = 9456354720. Its totient is φ = 728555520.

The previous prime is 2805145687. The next prime is 2805145747. The reversal of 2805145728 is 8275415082.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2805145728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200200 + ... + 213752.

Almost surely, 2^2805145728 is an apocalyptic number.

2805145728 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 2805145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4728177360).

2805145728 is an abundant number, since it is smaller than the sum of its proper divisors (6651208992).

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

2805145728 is a wasteful number, since it uses less digits than its factorization.

2805145728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13595 (or 13576 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The square root of 2805145728 is about 52963.6264619408. The cubic root of 2805145728 is about 1410.3226342829.

The spelling of 2805145728 in words is "two billion, eight hundred five million, one hundred forty-five thousand, seven hundred twenty-eight".