28617738480 has 80 divisors (see below), whose sum is σ = 98572217760. Its totient is φ = 7631396352.

The previous prime is 28617738449. The next prime is 28617738503. The reversal of 28617738480 is 8483771682.

It is a happy number.

28617738480 is a `hidden beast` number, since 2 + 8 + 61 + 77 + 38 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×28617738480³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6622317 + ... + 6626636.

It is an arithmetic number, because the mean of its divisors is an integer number (1232152722).

Almost surely, 2^28617738480 is an apocalyptic number.

28617738480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28617738480 is an abundant number, since it is smaller than the sum of its proper divisors (69954479280).

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

28617738480 is a wasteful number, since it uses less digits than its factorization.

28617738480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13248975 (or 13248963 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 28617738480 in words is "twenty-eight billion, six hundred seventeen million, seven hundred thirty-eight thousand, four hundred eighty".