84783587328 has 224 divisors, whose sum is σ = 274039096320. Its totient is φ = 25691258880.

The previous prime is 84783587327. The next prime is 84783587341. The reversal of 84783587328 is 82378538748.

84783587328 is a `hidden beast` number, since 8 + 47 + 8 + 3 + 587 + 3 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84783587327) 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, 2415601 + ... + 2450447.

Almost surely, 2^84783587328 is an apocalyptic number.

84783587328 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 84783587328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137019548160).

84783587328 is an abundant number, since it is smaller than the sum of its proper divisors (189255508992).

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

84783587328 is a wasteful number, since it uses less digits than its factorization.

84783587328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34893 (or 34863 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The spelling of 84783587328 in words is "eighty-four billion, seven hundred eighty-three million, five hundred eighty-seven thousand, three hundred twenty-eight".