28820147328 has 960 divisors, whose sum is σ = 109407386880. Its totient is φ = 7478231040.

The previous prime is 28820147303. The next prime is 28820147341. The reversal of 28820147328 is 82374102882.

28820147328 is a `hidden beast` number, since 2 + 88 + 201 + 47 + 328 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 405917533 + ... + 405917603.

It is an arithmetic number, because the mean of its divisors is an integer number (113966028).

Almost surely, 2^28820147328 is an apocalyptic number.

28820147328 is a gapful number since it is divisible by the number (28) 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 28820147328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54703693440).

28820147328 is an abundant number, since it is smaller than the sum of its proper divisors (80587239552).

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

28820147328 is a wasteful number, since it uses less digits than its factorization.

28820147328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 28820147328 in words is "twenty-eight billion, eight hundred twenty million, one hundred forty-seven thousand, three hundred twenty-eight".