201649728 has 112 divisors (see below), whose sum is σ = 620328960. Its totient is φ = 56615424.

The previous prime is 201649709. The next prime is 201649751. The reversal of 201649728 is 827946102.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×201649728² = 81325225604947968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78025 + ... + 80567.

Almost surely, 2^201649728 is an apocalyptic number.

201649728 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 201649728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310164480).

201649728 is an abundant number, since it is smaller than the sum of its proper divisors (418679232).

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

201649728 is a wasteful number, since it uses less digits than its factorization.

201649728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 201649728 is about 14200.3425310800. The cubic root of 201649728 is about 586.4070913182.

It can be divided in two parts, 20164 and 9728, that added together give a palindrome (29892).

The spelling of 201649728 in words is "two hundred one million, six hundred forty-nine thousand, seven hundred twenty-eight".