28364814900 has 180 divisors, whose sum is σ = 93905114688. Its totient is φ = 7402916160.

The previous prime is 28364814869. The next prime is 28364814901. The reversal of 28364814900 is 941846382.

It is a happy number.

28364814900 is a `hidden beast` number, since 2 + 83 + 6 + 4 + 81 + 490 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×28364814900² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28364814901) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 343447 + ... + 417953.

Almost surely, 2^28364814900 is an apocalyptic number.

28364814900 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 28364814900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46952557344).

28364814900 is an abundant number, since it is smaller than the sum of its proper divisors (65540299788).

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

28364814900 is a wasteful number, since it uses less digits than its factorization.

28364814900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74580 (or 74564 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28364814900 in words is "twenty-eight billion, three hundred sixty-four million, eight hundred fourteen thousand, nine hundred".