83287428 has 48 divisors (see below), whose sum is σ = 224321664. Its totient is φ = 23558400.

The previous prime is 83287427. The next prime is 83287537. The reversal of 83287428 is 82478238.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 83287428.

It is not an unprimeable number, because it can be changed into a prime (83287427) 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, 3576 + ... + 13392.

It is an arithmetic number, because the mean of its divisors is an integer number (4673368).

Almost surely, 2^83287428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83287428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112160832).

83287428 is an abundant number, since it is smaller than the sum of its proper divisors (141034236).

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

83287428 is a wasteful number, since it uses less digits than its factorization.

83287428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9932 (or 9930 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 83287428 is about 9126.1946067351. The cubic root of 83287428 is about 436.7100136316.

The spelling of 83287428 in words is "eighty-three million, two hundred eighty-seven thousand, four hundred twenty-eight".