28507900489200 has 1440 divisors, whose sum is σ = 113403850260480. Its totient is φ = 6568853760000.

The previous prime is 28507900489193. The next prime is 28507900489207. The reversal of 28507900489200 is 298400970582.

28507900489200 is a `hidden beast` number, since 2 + 8 + 50 + 7 + 90 + 0 + 489 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28507900489193) and next prime (28507900489207).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28507900489207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33033487969 + ... + 33033488831.

It is an arithmetic number, because the mean of its divisors is an integer number (78752673792).

Almost surely, 2^{28507900489200} is an apocalyptic number.

28507900489200 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 28507900489200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56701925130240).

28507900489200 is an abundant number, since it is smaller than the sum of its proper divisors (84895949771280).

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

28507900489200 is a wasteful number, since it uses less digits than its factorization.

28507900489200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 28507900489200 in words is "twenty-eight trillion, five hundred seven billion, nine hundred million, four hundred eighty-nine thousand, two hundred".