28357266309120 has 2720 divisors, whose sum is σ = 126978229382400. Its totient is φ = 5907375194112.

The previous prime is 28357266309089. The next prime is 28357266309143. The reversal of 28357266309120 is 2190366275382.

28357266309120 is a `hidden beast` number, since 2 + 8 + 3 + 57 + 266 + 309 + 1 + 20 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 102372802422 + ... + 102372802698.

Almost surely, 2^{28357266309120} is an apocalyptic number.

28357266309120 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 28357266309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63489114691200).

28357266309120 is an abundant number, since it is smaller than the sum of its proper divisors (98620963073280).

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

28357266309120 is an equidigital number, since it uses as much as digits as its factorization.

28357266309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 28357266309120 in words is "twenty-eight trillion, three hundred fifty-seven billion, two hundred sixty-six million, three hundred nine thousand, one hundred twenty".