83228288 has 64 divisors (see below), whose sum is σ = 194836320. Its totient is φ = 34913280.

The previous prime is 83228279. The next prime is 83228323. The reversal of 83228288 is 88282238.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16031 + ... + 20577.

Almost surely, 2^83228288 is an apocalyptic number.

83228288 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 83228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97418160).

83228288 is an abundant number, since it is smaller than the sum of its proper divisors (111608032).

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

83228288 is a wasteful number, since it uses less digits than its factorization.

83228288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4573 counting only the distinct ones).

The product of its digits is 98304, while the sum is 41.

The square root of 83228288 is about 9122.9539075894. The cubic root of 83228288 is about 436.6066240955.

The spelling of 83228288 in words is "eighty-three million, two hundred twenty-eight thousand, two hundred eighty-eight".