28384987400 has 384 divisors, whose sum is σ = 85044556800. Its totient is φ = 8555289600.

The previous prime is 28384987381. The next prime is 28384987409. The reversal of 28384987400 is 478948382.

28384987400 = 1² + 2² + ... + 4399².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is not an unprimeable number, because it can be changed into a prime (28384987409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67744391 + ... + 67744809.

It is an arithmetic number, because the mean of its divisors is an integer number (221470200).

Almost surely, 2^28384987400 is an apocalyptic number.

28384987400 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 28384987400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42522278400).

28384987400 is an abundant number, since it is smaller than the sum of its proper divisors (56659569400).

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

28384987400 is a wasteful number, since it uses less digits than its factorization.

28384987400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 28384987400 in words is "twenty-eight billion, three hundred eighty-four million, nine hundred eighty-seven thousand, four hundred".