28313145432 has 256 divisors, whose sum is σ = 95380992000. Its totient is φ = 7664025600.

The previous prime is 28313145407. The next prime is 28313145433. The reversal of 28313145432 is 23454131382.

28313145432 is a `hidden beast` number, since 2 + 83 + 1 + 3 + 145 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28313145433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 942744 + ... + 972312.

It is an arithmetic number, because the mean of its divisors is an integer number (372582000).

Almost surely, 2^28313145432 is an apocalyptic number.

28313145432 is a gapful number since it is divisible by the number (22) 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 28313145432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47690496000).

28313145432 is an abundant number, since it is smaller than the sum of its proper divisors (67067846568).

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

28313145432 is a wasteful number, since it uses less digits than its factorization.

28313145432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29639 (or 29629 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 28313145432 in words is "twenty-eight billion, three hundred thirteen million, one hundred forty-five thousand, four hundred thirty-two".