200309120928 has 288 divisors, whose sum is σ = 698204707200. Its totient is φ = 53195470848.

The previous prime is 200309120927. The next prime is 200309120933. The reversal of 200309120928 is 829021903002.

200309120928 is a `hidden beast` number, since 200 + 309 + 120 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 200309120892 and 200309120901.

It is not an unprimeable number, because it can be changed into a prime (200309120927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1980778 + ... + 2079446.

It is an arithmetic number, because the mean of its divisors is an integer number (2424321900).

Almost surely, 2^200309120928 is an apocalyptic number.

200309120928 is a gapful number since it is divisible by the number (28) 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 200309120928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349102353600).

200309120928 is an abundant number, since it is smaller than the sum of its proper divisors (497895586272).

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

200309120928 is a wasteful number, since it uses less digits than its factorization.

200309120928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98764 (or 98753 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 200309120928 in words is "two hundred billion, three hundred nine million, one hundred twenty thousand, nine hundred twenty-eight".