35728750080 has 400 divisors, whose sum is σ = 130423710384. Its totient is φ = 9345024000.

The previous prime is 35728750067. The next prime is 35728750087. The reversal of 35728750080 is 8005782753.

35728750080 is a `hidden beast` number, since 3 + 572 + 8 + 75 + 0 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35728750087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10988455 + ... + 10991705.

Almost surely, 2^35728750080 is an apocalyptic number.

35728750080 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 35728750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65211855192).

35728750080 is an abundant number, since it is smaller than the sum of its proper divisors (94694960304).

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

35728750080 is an equidigital number, since it uses as much as digits as its factorization.

35728750080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 35728750080 in words is "thirty-five billion, seven hundred twenty-eight million, seven hundred fifty thousand, eighty".