28458306911160 has 448 divisors, whose sum is σ = 113256865658880. Its totient is φ = 6294923631360.

The previous prime is 28458306911137. The next prime is 28458306911197. The reversal of 28458306911160 is 6111960385482.

It is a happy number.

28458306911160 is a `hidden beast` number, since 2 + 8 + 458 + 30 + 6 + 91 + 11 + 60 = 666.

It is a super-3 number, since 3×28458306911160³ (a number of 41 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 28458306911097 and 28458306911106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4079019 + ... + 8576421.

Almost surely, 2^{28458306911160} is an apocalyptic number.

28458306911160 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 28458306911160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56628432829440).

28458306911160 is an abundant number, since it is smaller than the sum of its proper divisors (84798558747720).

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

28458306911160 is a wasteful number, since it uses less digits than its factorization.

28458306911160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497470 (or 4497451 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 28458306911160 in words is "twenty-eight trillion, four hundred fifty-eight billion, three hundred six million, nine hundred eleven thousand, one hundred sixty".