83863728 has 160 divisors (see below), whose sum is σ = 263524800. Its totient is φ = 25380864.

The previous prime is 83863691. The next prime is 83863729. The reversal of 83863728 is 82736838.

83863728 is a `hidden beast` number, since 8 + 3 + 8 + 637 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (83863729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612076 + ... + 612212.

It is an arithmetic number, because the mean of its divisors is an integer number (1647030).

Almost surely, 2^83863728 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 83863728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131762400).

83863728 is an abundant number, since it is smaller than the sum of its proper divisors (179661072).

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

83863728 is a wasteful number, since it uses less digits than its factorization.

83863728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 83863728 is about 9157.7141252607. The cubic root of 83863728 is about 437.7149580946.

The spelling of 83863728 in words is "eighty-three million, eight hundred sixty-three thousand, seven hundred twenty-eight".