28527336321120 has 1152 divisors, whose sum is σ = 127023173222400. Its totient is φ = 5667337912320.

The previous prime is 28527336321103. The next prime is 28527336321173. The reversal of 28527336321120 is 2112363372582.

It is a happy number.

28527336321120 is a `hidden beast` number, since 2 + 8 + 5 + 2 + 7 + 3 + 3 + 632 + 1 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 150207981 + ... + 150397779.

It is an arithmetic number, because the mean of its divisors is an integer number (110263171200).

Almost surely, 2^{28527336321120} is an apocalyptic number.

28527336321120 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 28527336321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63511586611200).

28527336321120 is an abundant number, since it is smaller than the sum of its proper divisors (98495836901280).

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

28527336321120 is a wasteful number, since it uses less digits than its factorization.

28527336321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189908 (or 189897 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 28527336321120 in words is "twenty-eight trillion, five hundred twenty-seven billion, three hundred thirty-six million, three hundred twenty-one thousand, one hundred twenty".