28294997253600 has 1152 divisors, whose sum is σ = 116243759923200. Its totient is φ = 5807204352000.

The previous prime is 28294997253569. The next prime is 28294997253643. The reversal of 28294997253600 is 635279949282.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8203824676 + ... + 8203828124.

It is an arithmetic number, because the mean of its divisors is an integer number (100906041600).

Almost surely, 2^{28294997253600} is an apocalyptic number.

28294997253600 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 28294997253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58121879961600).

28294997253600 is an abundant number, since it is smaller than the sum of its proper divisors (87948762669600).

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

28294997253600 is a wasteful number, since it uses less digits than its factorization.

28294997253600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 66.

The spelling of 28294997253600 in words is "twenty-eight trillion, two hundred ninety-four billion, nine hundred ninety-seven million, two hundred fifty-three thousand, six hundred".