28977245600 has 144 divisors (see below), whose sum is σ = 72816698808. Its totient is φ = 11252183040.

The previous prime is 28977245509. The next prime is 28977245621. The reversal of 28977245600 is 654277982.

It can be written as a sum of positive squares in 12 ways, for example, as 62283664 + 28914961936 = 7892^2 + 170044^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18144002 + ... + 18145598.

Almost surely, 2^28977245600 is an apocalyptic number.

28977245600 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 28977245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36408349404).

28977245600 is an abundant number, since it is smaller than the sum of its proper divisors (43839453208).

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

28977245600 is a wasteful number, since it uses less digits than its factorization.

28977245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 28977245600 in words is "twenty-eight billion, nine hundred seventy-seven million, two hundred forty-five thousand, six hundred".