28135821120 has 224 divisors, whose sum is σ = 97670209536. Its totient is φ = 6805555200.

The previous prime is 28135821073. The next prime is 28135821149. The reversal of 28135821120 is 2112853182.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5139985 + ... + 5145455.

Almost surely, 2^28135821120 is an apocalyptic number.

28135821120 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 28135821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48835104768).

28135821120 is an abundant number, since it is smaller than the sum of its proper divisors (69534388416).

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

28135821120 is a wasteful number, since it uses less digits than its factorization.

28135821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5989 (or 5979 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 28135821120 in words is "twenty-eight billion, one hundred thirty-five million, eight hundred twenty-one thousand, one hundred twenty".