84763728 has 180 divisors, whose sum is σ = 283645908. Its totient is φ = 23546880.

The previous prime is 84763727. The next prime is 84763733. The reversal of 84763728 is 82736748.

It is a happy number.

84763728 is a `hidden beast` number, since 8 + 4 + 7 + 637 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41835024 + 42928704 = 6468^2 + 6552^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84763727) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 289150 + ... + 289442.

Almost surely, 2^84763728 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 84763728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141822954).

84763728 is an abundant number, since it is smaller than the sum of its proper divisors (198882180).

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

84763728 is a wasteful number, since it uses less digits than its factorization.

84763728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 346 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 84763728 is about 9206.7218921829. The cubic root of 84763728 is about 439.2751978899.

It can be divided in two parts, 84763 and 728, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 84763728 in words is "eighty-four million, seven hundred sixty-three thousand, seven hundred twenty-eight".