10278628864 has 160 divisors (see below), whose sum is σ = 24218092800. Its totient is φ = 4355979264.

The previous prime is 10278628853. The next prime is 10278628879. The reversal of 10278628864 is 46882687201.

It is a happy number.

It is a super-2 number, since 2×10278628864² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18790639 + ... + 18791185.

It is an arithmetic number, because the mean of its divisors is an integer number (151363080).

Almost surely, 2^10278628864 is an apocalyptic number.

10278628864 is a gapful number since it is divisible by the number (14) 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 10278628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12109046400).

10278628864 is an abundant number, since it is smaller than the sum of its proper divisors (13939463936).

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

10278628864 is an frugal number, since it uses more digits than its factorization.

10278628864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The spelling of 10278628864 in words is "ten billion, two hundred seventy-eight million, six hundred twenty-eight thousand, eight hundred sixty-four".