84949128 has 64 divisors (see below), whose sum is σ = 257428800. Its totient is φ = 25741440.

The previous prime is 84949121. The next prime is 84949129. The reversal of 84949128 is 82194948.

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

It is not an unprimeable number, because it can be changed into a prime (84949121) 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, 15501 + ... + 20252.

It is an arithmetic number, because the mean of its divisors is an integer number (4022325).

Almost surely, 2^84949128 is an apocalyptic number.

84949128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84949128 is an abundant number, since it is smaller than the sum of its proper divisors (172479672).

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

84949128 is a wasteful number, since it uses less digits than its factorization.

84949128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35779 (or 35769 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 84949128 is about 9216.7851228072. The cubic root of 84949128 is about 439.5952338210.

The spelling of 84949128 in words is "eighty-four million, nine hundred forty-nine thousand, one hundred twenty-eight".