28430311906080 has 1536 divisors, whose sum is σ = 119993558630400. Its totient is φ = 6150032179200.

The previous prime is 28430311906063. The next prime is 28430311906099. The reversal of 28430311906080 is 8060911303482.

28430311906080 is a `hidden beast` number, since 2 + 8 + 4 + 3 + 0 + 31 + 1 + 9 + 0 + 608 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19327199745 + ... + 19327201215.

It is an arithmetic number, because the mean of its divisors is an integer number (78120806400).

Almost surely, 2^{28430311906080} is an apocalyptic number.

28430311906080 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 28430311906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996779315200).

28430311906080 is an abundant number, since it is smaller than the sum of its proper divisors (91563246724320).

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

28430311906080 is a wasteful number, since it uses less digits than its factorization.

28430311906080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 28430311906080 in words is "twenty-eight trillion, four hundred thirty billion, three hundred eleven million, nine hundred six thousand, eighty".