10028007360 has 896 divisors, whose sum is σ = 43188940800. Its totient is φ = 2167824384.

The previous prime is 10028007331. The next prime is 10028007371. The reversal of 10028007360 is 6370082001.

It is a super-2 number, since 2×10028007360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112674196 + ... + 112674284.

Almost surely, 2^10028007360 is an apocalyptic number.

10028007360 is a gapful number since it is divisible by the number (10) 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 10028007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21594470400).

10028007360 is an abundant number, since it is smaller than the sum of its proper divisors (33160933440).

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

10028007360 is an frugal number, since it uses more digits than its factorization.

10028007360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 10028007360 its reverse (6370082001), we get a palindrome (16398089361).

The spelling of 10028007360 in words is "ten billion, twenty-eight million, seven thousand, three hundred sixty".