2828974746 has 64 divisors (see below), whose sum is σ = 6478278912. Its totient is φ = 816870912.

The previous prime is 2828974741. The next prime is 2828974763. The reversal of 2828974746 is 6474798282.

It is a happy number.

It is a super-2 number, since 2×2828974746² = 16006196227011529032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2828974741) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 80206 + ... + 109958.

It is an arithmetic number, because the mean of its divisors is an integer number (101223108).

Almost surely, 2^2828974746 is an apocalyptic number.

2828974746 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2828974746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239139456).

2828974746 is an abundant number, since it is smaller than the sum of its proper divisors (3649304166).

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

2828974746 is a wasteful number, since it uses less digits than its factorization.

2828974746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29847.

The product of its digits is 10838016, while the sum is 57.

The square root of 2828974746 is about 53188.1071857234. The cubic root of 2828974746 is about 1414.3048266923.

The spelling of 2828974746 in words is "two billion, eight hundred twenty-eight million, nine hundred seventy-four thousand, seven hundred forty-six".