7285471128 has 160 divisors (see below), whose sum is σ = 22444551360. Its totient is φ = 2193868800.

The previous prime is 7285471121. The next prime is 7285471129. The reversal of 7285471128 is 8211745827.

7285471128 is a `hidden beast` number, since 72 + 8 + 547 + 11 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7285471121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 386728 + ... + 405128.

It is an arithmetic number, because the mean of its divisors is an integer number (140278446).

Almost surely, 2^7285471128 is an apocalyptic number.

7285471128 is a gapful number since it is divisible by the number (78) 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 7285471128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11222275680).

7285471128 is an abundant number, since it is smaller than the sum of its proper divisors (15159080232).

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

7285471128 is a wasteful number, since it uses less digits than its factorization.

7285471128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18479 (or 18466 counting only the distinct ones).

The product of its digits is 250880, while the sum is 45.

The square root of 7285471128 is about 85354.9713139194. The cubic root of 7285471128 is about 1938.5896086761.

The spelling of 7285471128 in words is "seven billion, two hundred eighty-five million, four hundred seventy-one thousand, one hundred twenty-eight".