28414193664 has 104 divisors (see below), whose sum is σ = 77375462400. Its totient is φ = 9269690368.

The previous prime is 28414193659. The next prime is 28414193671. The reversal of 28414193664 is 46639141482.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 552937 + ... + 602135.

Almost surely, 2^28414193664 is an apocalyptic number.

28414193664 is a gapful number since it is divisible by the number (24) 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 28414193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38687731200).

28414193664 is an abundant number, since it is smaller than the sum of its proper divisors (48961268736).

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

28414193664 is an equidigital number, since it uses as much as digits as its factorization.

28414193664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49273 (or 49251 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 28414193664 in words is "twenty-eight billion, four hundred fourteen million, one hundred ninety-three thousand, six hundred sixty-four".