8628197760 has 1280 divisors, whose sum is σ = 39810355200. Its totient is φ = 1731870720.

The previous prime is 8628197741. The next prime is 8628197761. The reversal of 8628197760 is 677918268.

8628197760 is a `hidden beast` number, since 8 + 628 + 1 + 9 + 7 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8628197697 and 8628197706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8628197761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 146240611 + ... + 146240669.

It is an arithmetic number, because the mean of its divisors is an integer number (31101840).

Almost surely, 2^8628197760 is an apocalyptic number.

8628197760 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 8628197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19905177600).

8628197760 is an abundant number, since it is smaller than the sum of its proper divisors (31182157440).

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

8628197760 is a wasteful number, since it uses less digits than its factorization.

8628197760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 8628197760 is about 92888.0926706970. The cubic root of 8628197760 is about 2051.0363793996.

It can be divided in two parts, 86281 and 97760, that added together give a square (184041 = 429²).

The spelling of 8628197760 in words is "eight billion, six hundred twenty-eight million, one hundred ninety-seven thousand, seven hundred sixty".