242728191000 has 256 divisors, whose sum is σ = 842450544000. Its totient is φ = 64651161600.

The previous prime is 242728190987. The next prime is 242728191019. The reversal of 242728191000 is 191827242.

It is a super-2 number, since 2×242728191000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25078162 + ... + 25087838.

Almost surely, 2^242728191000 is an apocalyptic number.

242728191000 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 242728191000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421225272000).

242728191000 is an abundant number, since it is smaller than the sum of its proper divisors (599722353000).

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

242728191000 is a wasteful number, since it uses less digits than its factorization.

242728191000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10636 (or 10616 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 242728191000 in words is "two hundred forty-two billion, seven hundred twenty-eight million, one hundred ninety-one thousand".