8519028480 has 216 divisors, whose sum is σ = 31027061520. Its totient is φ = 2152120320.

The previous prime is 8519028473. The next prime is 8519028509. The reversal of 8519028480 is 848209158.

It is a happy number.

8519028480 is a `hidden beast` number, since 85 + 1 + 90 + 2 + 8 + 480 = 666.

It is a super-2 number, since 2×8519028480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199420 + ... + 238340.

Almost surely, 2^8519028480 is an apocalyptic number.

8519028480 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 8519028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513530760).

8519028480 is an abundant number, since it is smaller than the sum of its proper divisors (22508033040).

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

8519028480 is a wasteful number, since it uses less digits than its factorization.

8519028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38967 (or 38950 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 8519028480 is about 92298.5833044040. The cubic root of 8519028480 is about 2042.3493118931.

The spelling of 8519028480 in words is "eight billion, five hundred nineteen million, twenty-eight thousand, four hundred eighty".