83268476928 has 840 divisors, whose sum is σ = 313218123372. Its totient is φ = 21849440256.

The previous prime is 83268476909. The next prime is 83268476947. The reversal of 83268476928 is 82967486238.

83268476928 is a `hidden beast` number, since 83 + 2 + 68 + 476 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (83268476909) and next prime (83268476947).

It can be written as a sum of positive squares in 2 ways, for example, as 81951657984 + 1316818944 = 286272^2 + 36288^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 422682526 + ... + 422682722.

Almost surely, 2^83268476928 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 83268476928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156609061686).

83268476928 is an abundant number, since it is smaller than the sum of its proper divisors (229949646444).

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

83268476928 is a wasteful number, since it uses less digits than its factorization.

83268476928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 222 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 83268476928 in words is "eighty-three billion, two hundred sixty-eight million, four hundred seventy-six thousand, nine hundred twenty-eight".