2828465640 has 768 divisors, whose sum is σ = 12680478720. Its totient is φ = 527800320.

The previous prime is 2828465621. The next prime is 2828465683. The reversal of 2828465640 is 465648282.

2828465640 is a `hidden beast` number, since 2 + 8 + 2 + 84 + 6 + 564 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16936837 + ... + 16937003.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040).

Almost surely, 2^2828465640 is an apocalyptic number.

2828465640 is a gapful number since it is divisible by the number (20) 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 2828465640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340239360).

2828465640 is an abundant number, since it is smaller than the sum of its proper divisors (9852013080).

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

2828465640 is a wasteful number, since it uses less digits than its factorization.

2828465640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2828465640 is about 53183.3210696737. The cubic root of 2828465640 is about 1414.2199815529.

The spelling of 2828465640 in words is "two billion, eight hundred twenty-eight million, four hundred sixty-five thousand, six hundred forty".