28947456000 has 560 divisors, whose sum is σ = 108235927800. Its totient is φ = 7697203200.

The previous prime is 28947455921. The next prime is 28947456007. The reversal of 28947456000 is 65474982.

It is a happy number.

28947456000 is a `hidden beast` number, since 2 + 89 + 4 + 7 + 4 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11851370496 + 17096085504 = 108864^2 + 130752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28947456007) 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, 82943826 + ... + 82944174.

Almost surely, 2^28947456000 is an apocalyptic number.

28947456000 is a gapful number since it is divisible by the number (20) 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 28947456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54117963900).

28947456000 is an abundant number, since it is smaller than the sum of its proper divisors (79288471800).

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

28947456000 is an frugal number, since it uses more digits than its factorization.

28947456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 28947456000 in words is "twenty-eight billion, nine hundred forty-seven million, four hundred fifty-six thousand".