28658634480 has 720 divisors, whose sum is σ = 116711404992. Its totient is φ = 6171033600.

The previous prime is 28658634467. The next prime is 28658634491. The reversal of 28658634480 is 8443685682.

28658634480 is a `hidden beast` number, since 2 + 86 + 5 + 86 + 3 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 295449792 + ... + 295449888.

Almost surely, 2^28658634480 is an apocalyptic number.

28658634480 is a gapful number since it is divisible by the number (20) 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 28658634480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58355702496).

28658634480 is an abundant number, since it is smaller than the sum of its proper divisors (88052770512).

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

28658634480 is a wasteful number, since it uses less digits than its factorization.

28658634480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 28658634480 in words is "twenty-eight billion, six hundred fifty-eight million, six hundred thirty-four thousand, four hundred eighty".