28528977600 has 672 divisors, whose sum is σ = 109092065280. Its totient is φ = 7334323200.

The previous prime is 28528977599. The next prime is 28528977619. The reversal of 28528977600 is 677982582.

It is a happy number.

28528977600 is a `hidden beast` number, since 2 + 8 + 5 + 28 + 9 + 7 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108475069 + ... + 108475331.

Almost surely, 2^28528977600 is an apocalyptic number.

28528977600 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 28528977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54546032640).

28528977600 is an abundant number, since it is smaller than the sum of its proper divisors (80563087680).

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

28528977600 is an equidigital number, since it uses as much as digits as its factorization.

28528977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 28528977600 in words is "twenty-eight billion, five hundred twenty-eight million, nine hundred seventy-seven thousand, six hundred".