802083401028 has 288 divisors, whose sum is σ = 2546830121472. Its totient is φ = 207189964800.

The previous prime is 802083401011. The next prime is 802083401029. The reversal of 802083401028 is 820104380208.

It is a happy number.

802083401028 is a `hidden beast` number, since 8 + 0 + 208 + 340 + 102 + 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 = 802083400983 and 802083401001.

It is not an unprimeable number, because it can be changed into a prime (802083401029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109555608 + ... + 109562928.

It is an arithmetic number, because the mean of its divisors is an integer number (8843160144).

Almost surely, 2^802083401028 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 802083401028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273415060736).

802083401028 is an abundant number, since it is smaller than the sum of its proper divisors (1744746720444).

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

802083401028 is a wasteful number, since it uses less digits than its factorization.

802083401028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8035 (or 8030 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 802083401028 in words is "eight hundred two billion, eighty-three million, four hundred one thousand, twenty-eight".