193801428 has 72 divisors (see below), whose sum is σ = 522266472. Its totient is φ = 60383232.

The previous prime is 193801369. The next prime is 193801459. The reversal of 193801428 is 824108391.

193801428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 66292164 + 127509264 = 8142^2 + 11292^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 193801392 and 193801401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95076 + ... + 97092.

It is an arithmetic number, because the mean of its divisors is an integer number (7253701).

Almost surely, 2^193801428 is an apocalyptic number.

193801428 is a gapful number since it is divisible by the number (18) 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 193801428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261133236).

193801428 is an abundant number, since it is smaller than the sum of its proper divisors (328465044).

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

193801428 is a wasteful number, since it uses less digits than its factorization.

193801428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 193801428 is about 13921.2581327982. The cubic root of 193801428 is about 578.6984568166.

The spelling of 193801428 in words is "one hundred ninety-three million, eight hundred one thousand, four hundred twenty-eight".