36428985600 has 864 divisors, whose sum is σ = 144044113920. Its totient is φ = 7936081920.

The previous prime is 36428985599. The next prime is 36428985613. The reversal of 36428985600 is 658982463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 461126361 + ... + 461126439.

Almost surely, 2^36428985600 is an apocalyptic number.

36428985600 is a gapful number since it is divisible by the number (30) 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 36428985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72022056960).

36428985600 is an abundant number, since it is smaller than the sum of its proper divisors (107615128320).

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

36428985600 is a wasteful number, since it uses less digits than its factorization.

36428985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 36428985600 in words is "thirty-six billion, four hundred twenty-eight million, nine hundred eighty-five thousand, six hundred".