28829445120 has 528 divisors, whose sum is σ = 115163892480. Its totient is φ = 6532005888.

The previous prime is 28829445119. The next prime is 28829445137. The reversal of 28829445120 is 2154492882.

28829445120 is a `hidden beast` number, since 2 + 8 + 82 + 9 + 445 + 120 = 666.

It is a super-3 number, since 3×28829445120³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 47 ways as a sum of consecutive naturals, for example, 44835519 + ... + 44836161.

Almost surely, 2^28829445120 is an apocalyptic number.

28829445120 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 28829445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57581946240).

28829445120 is an abundant number, since it is smaller than the sum of its proper divisors (86334447360).

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

28829445120 is a wasteful number, since it uses less digits than its factorization.

28829445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 28829445120 in words is "twenty-eight billion, eight hundred twenty-nine million, four hundred forty-five thousand, one hundred twenty".