28353101787120 has 320 divisors, whose sum is σ = 96049999977984. Its totient is φ = 6861663989760.

The previous prime is 28353101787097. The next prime is 28353101787121. The reversal of 28353101787120 is 2178710135382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28353101787120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28353101787121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6860172574 + ... + 6860176706.

Almost surely, 2^{28353101787120} is an apocalyptic number.

28353101787120 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 28353101787120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48024999988992).

28353101787120 is an abundant number, since it is smaller than the sum of its proper divisors (67696898190864).

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

28353101787120 is a wasteful number, since it uses less digits than its factorization.

28353101787120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8000 (or 7994 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 28353101787120 in words is "twenty-eight trillion, three hundred fifty-three billion, one hundred one million, seven hundred eighty-seven thousand, one hundred twenty".