35728173360 has 840 divisors, whose sum is σ = 140817205872. Its totient is φ = 8416742400.

The previous prime is 35728173329. The next prime is 35728173407. The reversal of 35728173360 is 6337182753.

35728173360 is a `hidden beast` number, since 3 + 5 + 7 + 281 + 7 + 3 + 360 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 430459879 + ... + 430459961.

Almost surely, 2^35728173360 is an apocalyptic number.

35728173360 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 35728173360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70408602936).

35728173360 is an abundant number, since it is smaller than the sum of its proper divisors (105089032512).

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

35728173360 is a wasteful number, since it uses less digits than its factorization.

35728173360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 35728173360 in words is "thirty-five billion, seven hundred twenty-eight million, one hundred seventy-three thousand, three hundred sixty".