8028533760 has 352 divisors, whose sum is σ = 28568128512. Its totient is φ = 1911029760.

The previous prime is 8028533701. The next prime is 8028533761. The reversal of 8028533760 is 673358208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8028533761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6189432 + ... + 6190728.

It is an arithmetic number, because the mean of its divisors is an integer number (81159456).

Almost surely, 2^8028533760 is an apocalyptic number.

8028533760 is a gapful number since it is divisible by the number (80) 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 8028533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284064256).

8028533760 is an abundant number, since it is smaller than the sum of its proper divisors (20539594752).

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

8028533760 is a wasteful number, since it uses less digits than its factorization.

8028533760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 8028533760 is about 89602.0856900106. The cubic root of 8028533760 is about 2002.3749919237.

The spelling of 8028533760 in words is "eight billion, twenty-eight million, five hundred thirty-three thousand, seven hundred sixty".