2828628432 has 80 divisors (see below), whose sum is σ = 9279108480. Its totient is φ = 808178688.

The previous prime is 2828628409. The next prime is 2828628437. The reversal of 2828628432 is 2348268282.

It is a super-2 number, since 2×2828628432² = 16002277612637557248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828628437) 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, 464673 + ... + 470720.

It is an arithmetic number, because the mean of its divisors is an integer number (115988856).

Almost surely, 2^2828628432 is an apocalyptic number.

It is an amenable number.

2828628432 is an abundant number, since it is smaller than the sum of its proper divisors (6450480048).

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

2828628432 is a wasteful number, since it uses less digits than its factorization.

2828628432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935417 (or 935405 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 2828628432 is about 53184.8515274791. The cubic root of 2828628432 is about 1414.2471127861.

The spelling of 2828628432 in words is "two billion, eight hundred twenty-eight million, six hundred twenty-eight thousand, four hundred thirty-two".