28142509464 has 96 divisors (see below), whose sum is σ = 79574957280. Its totient is φ = 8968261632.

The previous prime is 28142509453. The next prime is 28142509513. The reversal of 28142509464 is 46490524182.

It is a happy number.

28142509464 is a `hidden beast` number, since 2 + 81 + 4 + 2 + 509 + 4 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4555882 + ... + 4562054.

It is an arithmetic number, because the mean of its divisors is an integer number (828905805).

Almost surely, 2^28142509464 is an apocalyptic number.

28142509464 is a gapful number since it is divisible by the number (24) 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 28142509464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39787478640).

28142509464 is an abundant number, since it is smaller than the sum of its proper divisors (51432447816).

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

28142509464 is a wasteful number, since it uses less digits than its factorization.

28142509464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8961 (or 8954 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 28142509464 in words is "twenty-eight billion, one hundred forty-two million, five hundred nine thousand, four hundred sixty-four".