28946516352 has 256 divisors, whose sum is σ = 90510981120. Its totient is φ = 8111554560.

The previous prime is 28946516351. The next prime is 28946516381. The reversal of 28946516352 is 25361564982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 28946516295 and 28946516304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28946516351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2625283 + ... + 2636285.

It is an arithmetic number, because the mean of its divisors is an integer number (353558520).

Almost surely, 2^28946516352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28946516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45255490560).

28946516352 is an abundant number, since it is smaller than the sum of its proper divisors (61564464768).

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

28946516352 is a wasteful number, since it uses less digits than its factorization.

28946516352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11081 (or 11069 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The spelling of 28946516352 in words is "twenty-eight billion, nine hundred forty-six million, five hundred sixteen thousand, three hundred fifty-two".