30428513280 has 528 divisors, whose sum is σ = 116017147584. Its totient is φ = 7312834560.

The previous prime is 30428513201. The next prime is 30428513321. The reversal of 30428513280 is 8231582403.

30428513280 is a `hidden beast` number, since 304 + 28 + 5 + 1 + 328 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×30428513280² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87690067 + ... + 87690413.

Almost surely, 2^30428513280 is an apocalyptic number.

30428513280 is a gapful number since it is divisible by the number (30) 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 30428513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58008573792).

30428513280 is an abundant number, since it is smaller than the sum of its proper divisors (85588634304).

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

30428513280 is a wasteful number, since it uses less digits than its factorization.

30428513280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 30428513280 in words is "thirty billion, four hundred twenty-eight million, five hundred thirteen thousand, two hundred eighty".