202048728 has 64 divisors (see below), whose sum is σ = 579087360. Its totient is φ = 57547776.

The previous prime is 202048727. The next prime is 202048729. The reversal of 202048728 is 827840202.

It is an interprime number because it is at equal distance from previous prime (202048727) and next prime (202048729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202048727) 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, 57601 + ... + 61007.

It is an arithmetic number, because the mean of its divisors is an integer number (9048240).

Almost surely, 2^202048728 is an apocalyptic number.

202048728 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 202048728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289543680).

202048728 is an abundant number, since it is smaller than the sum of its proper divisors (377038632).

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

202048728 is a wasteful number, since it uses less digits than its factorization.

202048728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 202048728 is about 14214.3845452415. The cubic root of 202048728 is about 586.7936068862.

The spelling of 202048728 in words is "two hundred two million, forty-eight thousand, seven hundred twenty-eight".