89652288 has 168 divisors, whose sum is σ = 277282656. Its totient is φ = 25456640.

The previous prime is 89652287. The next prime is 89652293. The reversal of 89652288 is 88225698.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89652287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394831 + ... + 395057.

It is an arithmetic number, because the mean of its divisors is an integer number (1650492).

Almost surely, 2^89652288 is an apocalyptic number.

89652288 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89652288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138641328).

89652288 is an abundant number, since it is smaller than the sum of its proper divisors (187630368).

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

89652288 is a wasteful number, since it uses less digits than its factorization.

89652288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 260 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The square root of 89652288 is about 9468.4892142305. The cubic root of 89652288 is about 447.5626045597.

The spelling of 89652288 in words is "eighty-nine million, six hundred fifty-two thousand, two hundred eighty-eight".