89628264 has 48 divisors (see below), whose sum is σ = 264813120. Its totient is φ = 27159840.

The previous prime is 89628239. The next prime is 89628269. The reversal of 89628264 is 46282698.

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 (89628269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55792 + ... + 57375.

It is an arithmetic number, because the mean of its divisors is an integer number (5516940).

Almost surely, 2^89628264 is an apocalyptic number.

It is an amenable number.

89628264 is an abundant number, since it is smaller than the sum of its proper divisors (175184856).

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

89628264 is a wasteful number, since it uses less digits than its factorization.

89628264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113190 (or 113183 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 89628264 is about 9467.2205002313. The cubic root of 89628264 is about 447.5226234102.

The spelling of 89628264 in words is "eighty-nine million, six hundred twenty-eight thousand, two hundred sixty-four".