10028600480000 has 90 divisors (see below), whose sum is σ = 25014526612614. Its totient is φ = 4011440128000.

The previous prime is 10028600479951. The next prime is 10028600480009. The reversal of 10028600480000 is 8400682001.

It can be written as a sum of positive squares in 5 ways, for example, as 7444428488704 + 2584171991296 = 2728448^2 + 1607536^2 .

It is not an unprimeable number, because it can be changed into a prime (10028600480009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 31179377 + ... + 31499376.

Almost surely, 2^{10028600480000} is an apocalyptic number.

10028600480000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10028600480000 is an abundant number, since it is smaller than the sum of its proper divisors (14985926132614).

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

10028600480000 is an frugal number, since it uses more digits than its factorization.

10028600480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62678789 (or 62678760 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The spelling of 10028600480000 in words is "ten trillion, twenty-eight billion, six hundred million, four hundred eighty thousand".