83228544 has 96 divisors (see below), whose sum is σ = 273739440. Its totient is φ = 23777280.

The previous prime is 83228533. The next prime is 83228557. The reversal of 83228544 is 44582238.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83228499 and 83228508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2904 + ... + 13224.

Almost surely, 2^83228544 is an apocalyptic number.

83228544 is a gapful number since it is divisible by the number (84) 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 83228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136869720).

83228544 is an abundant number, since it is smaller than the sum of its proper divisors (190510896).

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

83228544 is a wasteful number, since it uses less digits than its factorization.

83228544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10348 (or 10333 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 83228544 is about 9122.9679381219. The cubic root of 83228544 is about 436.6070717445.

The spelling of 83228544 in words is "eighty-three million, two hundred twenty-eight thousand, five hundred forty-four".