83503728 has 240 divisors, whose sum is σ = 309194496. Its totient is φ = 20367360.

The previous prime is 83503699. The next prime is 83503729. The reversal of 83503728 is 82730538.

83503728 is a `hidden beast` number, since 83 + 503 + 72 + 8 = 666.

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 = 83503692 and 83503701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83503729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188275 + ... + 188717.

Almost surely, 2^83503728 is an apocalyptic number.

83503728 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 83503728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154597248).

83503728 is an abundant number, since it is smaller than the sum of its proper divisors (225690768).

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

83503728 is a wasteful number, since it uses less digits than its factorization.

83503728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 83503728 is about 9138.0374260560. The cubic root of 83503728 is about 437.0877365919.

The spelling of 83503728 in words is "eighty-three million, five hundred three thousand, seven hundred twenty-eight".