14985350028 has 288 divisors, whose sum is σ = 44788101120. Its totient is φ = 4324320000.

The previous prime is 14985349999. The next prime is 14985350041. The reversal of 14985350028 is 82005358941.

14985350028 is a `hidden beast` number, since 1 + 4 + 98 + 53 + 500 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28762408 + ... + 28762928.

It is an arithmetic number, because the mean of its divisors is an integer number (155514240).

Almost surely, 2^14985350028 is an apocalyptic number.

14985350028 is a gapful number since it is divisible by the number (18) 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 14985350028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22394050560).

14985350028 is an abundant number, since it is smaller than the sum of its proper divisors (29802751092).

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

14985350028 is a wasteful number, since it uses less digits than its factorization.

14985350028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 14985350028 in words is "fourteen billion, nine hundred eighty-five million, three hundred fifty thousand, twenty-eight".