293828828142096 has 945 divisors, whose sum is σ = 959506877094597. Its totient is φ = 87083980139520.

The previous prime is 293828828141999. The next prime is 293828828142151. The reversal of 293828828142096 is 690241828828392.

It is a happy number.

The square root of 293828828142096 is 17141436.

It is a perfect power (a square), and thus also a powerful number.

293828828142096 is a `hidden beast` number, since 2 + 9 + 38 + 2 + 8 + 8 + 2 + 81 + 420 + 96 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 268617021411600 + 25211806730496 = 16389540^2 + 5021136^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 697930707966 + ... + 697930708386.

Almost surely, 2^{293828828142096} is an apocalyptic number.

293828828142096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

293828828142096 is the 17141436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293828828142096

293828828142096 is an abundant number, since it is smaller than the sum of its proper divisors (665678048952501).

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

293828828142096 is an frugal number, since it uses more digits than its factorization.

293828828142096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 72.

The spelling of 293828828142096 in words is "two hundred ninety-three trillion, eight hundred twenty-eight billion, eight hundred twenty-eight million, one hundred forty-two thousand, ninety-six".