28438387200 has 720 divisors, whose sum is σ = 108601549056. Its totient is φ = 7365427200.

The previous prime is 28438387169. The next prime is 28438387231. The reversal of 28438387200 is 278383482.

28438387200 is a `hidden beast` number, since 2 + 8 + 438 + 3 + 8 + 7 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (28438387169) and next prime (28438387231).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127526289 + ... + 127526511.

Almost surely, 2^28438387200 is an apocalyptic number.

28438387200 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 28438387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54300774528).

28438387200 is an abundant number, since it is smaller than the sum of its proper divisors (80163161856).

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

28438387200 is an equidigital number, since it uses as much as digits as its factorization.

28438387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 28438387200 in words is "twenty-eight billion, four hundred thirty-eight million, three hundred eighty-seven thousand, two hundred".