83870028 has 144 divisors (see below), whose sum is σ = 248451840. Its totient is φ = 23587200.

The previous prime is 83870021. The next prime is 83870041. The reversal of 83870028 is 82007838.

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 = 83869974 and 83870001.

It is not an unprimeable number, because it can be changed into a prime (83870021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534126 + ... + 534282.

It is an arithmetic number, because the mean of its divisors is an integer number (1725360).

Almost surely, 2^83870028 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 83870028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124225920).

83870028 is an abundant number, since it is smaller than the sum of its proper divisors (164581812).

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

83870028 is a wasteful number, since it uses less digits than its factorization.

83870028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 83870028 is about 9158.0580911021. The cubic root of 83870028 is about 437.7259184755.

The spelling of 83870028 in words is "eighty-three million, eight hundred seventy thousand, twenty-eight".