28546998480 has 1280 divisors, whose sum is σ = 134471393280. Its totient is φ = 5441955840.

The previous prime is 28546998461. The next prime is 28546998517. The reversal of 28546998480 is 8489964582.

28546998480 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 69 + 98 + 480 = 666.

It is a super-2 number, since 2×28546998480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 255 ways as a sum of consecutive naturals, for example, 175134879 + ... + 175135041.

It is an arithmetic number, because the mean of its divisors is an integer number (105055776).

Almost surely, 2^28546998480 is an apocalyptic number.

28546998480 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 28546998480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67235696640).

28546998480 is an abundant number, since it is smaller than the sum of its proper divisors (105924394800).

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

28546998480 is a wasteful number, since it uses less digits than its factorization.

28546998480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 28546998480 in words is "twenty-eight billion, five hundred forty-six million, nine hundred ninety-eight thousand, four hundred eighty".