28480142768 has 80 divisors (see below), whose sum is σ = 69099934464. Its totient is φ = 11047169280.

The previous prime is 28480142753. The next prime is 28480142783. The reversal of 28480142768 is 86724108482.

It is an interprime number because it is at equal distance from previous prime (28480142753) and next prime (28480142783).

It is a super-2 number, since 2×28480142768² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228746 + ... + 330582.

Almost surely, 2^28480142768 is an apocalyptic number.

28480142768 is a gapful number since it is divisible by the number (28) 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 28480142768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34549967232).

28480142768 is an abundant number, since it is smaller than the sum of its proper divisors (40619791696).

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

28480142768 is a wasteful number, since it uses less digits than its factorization.

28480142768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102090 (or 102084 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 50.

The spelling of 28480142768 in words is "twenty-eight billion, four hundred eighty million, one hundred forty-two thousand, seven hundred sixty-eight".