28773892137600 has 384 divisors, whose sum is σ = 105367042684800. Its totient is φ = 7668477296640.

The previous prime is 28773892137541. The next prime is 28773892137607. The reversal of 28773892137600 is 673129837782.

28773892137600 is a `hidden beast` number, since 2 + 8 + 7 + 7 + 3 + 8 + 9 + 2 + 13 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (28773892137607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146522677 + ... + 146718923.

It is an arithmetic number, because the mean of its divisors is an integer number (274393340325).

Almost surely, 2^{28773892137600} is an apocalyptic number.

28773892137600 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 28773892137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52683521342400).

28773892137600 is an abundant number, since it is smaller than the sum of its proper divisors (76593150547200).

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

28773892137600 is a wasteful number, since it uses less digits than its factorization.

28773892137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197977 (or 197954 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 28773892137600 in words is "twenty-eight trillion, seven hundred seventy-three billion, eight hundred ninety-two million, one hundred thirty-seven thousand, six hundred".