84263328 has 240 divisors, whose sum is σ = 274428000. Its totient is φ = 25256448.

The previous prime is 84263327. The next prime is 84263341. The reversal of 84263328 is 82336248.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 84263292 and 84263301.

It is not an unprimeable number, because it can be changed into a prime (84263327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1428163 + ... + 1428221.

It is an arithmetic number, because the mean of its divisors is an integer number (1143450).

Almost surely, 2^84263328 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 84263328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137214000).

84263328 is an abundant number, since it is smaller than the sum of its proper divisors (190164672).

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

84263328 is a wasteful number, since it uses less digits than its factorization.

84263328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 84263328 is about 9179.5058690542. The cubic root of 84263328 is about 438.4090755043.

The spelling of 84263328 in words is "eighty-four million, two hundred sixty-three thousand, three hundred twenty-eight".