28489172342400 has 3072 divisors, whose sum is σ = 138958820352000. Its totient is φ = 5518098432000.

The previous prime is 28489172342347. The next prime is 28489172342401. The reversal of 28489172342400 is 424327198482.

28489172342400 is a `hidden beast` number, since 2 + 8 + 48 + 9 + 172 + 3 + 424 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28489172342401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12327637245 + ... + 12327639555.

It is an arithmetic number, because the mean of its divisors is an integer number (45233991000).

Almost surely, 2^{28489172342400} is an apocalyptic number.

28489172342400 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 28489172342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69479410176000).

28489172342400 is an abundant number, since it is smaller than the sum of its proper divisors (110469648009600).

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

28489172342400 is a wasteful number, since it uses less digits than its factorization.

28489172342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 28489172342400 in words is "twenty-eight trillion, four hundred eighty-nine billion, one hundred seventy-two million, three hundred forty-two thousand, four hundred".