2828026464 has 96 divisors (see below), whose sum is σ = 7592538240. Its totient is φ = 921464832.

The previous prime is 2828026463. The next prime is 2828026471. The reversal of 2828026464 is 4646208282.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828026463) 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, 771067 + ... + 774725.

It is an arithmetic number, because the mean of its divisors is an integer number (79088940).

Almost surely, 2^2828026464 is an apocalyptic number.

2828026464 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 2828026464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796269120).

2828026464 is an abundant number, since it is smaller than the sum of its proper divisors (4764511776).

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

2828026464 is a wasteful number, since it uses less digits than its factorization.

2828026464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 2828026464 is about 53179.1920209399. The cubic root of 2828026464 is about 1414.1467824287.

The spelling of 2828026464 in words is "two billion, eight hundred twenty-eight million, twenty-six thousand, four hundred sixty-four".