200557728 has 96 divisors (see below), whose sum is σ = 668545920. Its totient is φ = 57300480.

The previous prime is 200557727. The next prime is 200557729. The reversal of 200557728 is 827755002.

It is an interprime number because it is at equal distance from previous prime (200557727) and next prime (200557729).

It is a tau number, because it is divible by the number of its divisors (96).

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 = 200557692 and 200557701.

It is not an unprimeable number, because it can be changed into a prime (200557727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10533 + ... + 22628.

It is an arithmetic number, because the mean of its divisors is an integer number (6964020).

Almost surely, 2^200557728 is an apocalyptic number.

200557728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

200557728 is an abundant number, since it is smaller than the sum of its proper divisors (467988192).

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

200557728 is a wasteful number, since it uses less digits than its factorization.

200557728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33187 (or 33173 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 200557728 is about 14161.8405583455. The cubic root of 200557728 is about 585.3466453087.

The spelling of 200557728 in words is "two hundred million, five hundred fifty-seven thousand, seven hundred twenty-eight".