84629728 has 36 divisors (see below), whose sum is σ = 169841448. Its totient is φ = 41502720.

The previous prime is 84629717. The next prime is 84629729. The reversal of 84629728 is 82792648.

It is a super-2 number, since 2×84629728² = 14324381722707968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84629729) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 438400 + ... + 438592.

It is an arithmetic number, because the mean of its divisors is an integer number (4717818).

Almost surely, 2^84629728 is an apocalyptic number.

It is an amenable number.

84629728 is an abundant number, since it is smaller than the sum of its proper divisors (85211720).

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

84629728 is an equidigital number, since it uses as much as digits as its factorization.

84629728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 266 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The square root of 84629728 is about 9199.4417221916. The cubic root of 84629728 is about 439.0435975610.

The spelling of 84629728 in words is "eighty-four million, six hundred twenty-nine thousand, seven hundred twenty-eight".