35728898975616 has 768 divisors, whose sum is σ = 121495446374400. Its totient is φ = 9198917038080.

The previous prime is 35728898975587. The next prime is 35728898975639. The reversal of 35728898975616 is 61657989882753.

It is a Harshad number since it is a multiple of its sum of digits (84).

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, 14482730415 + ... + 14482732881.

It is an arithmetic number, because the mean of its divisors is an integer number (158197195800).

Almost surely, 2^{35728898975616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35728898975616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60747723187200).

35728898975616 is an abundant number, since it is smaller than the sum of its proper divisors (85766547398784).

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

35728898975616 is a wasteful number, since it uses less digits than its factorization.

35728898975616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3076 counting only the distinct ones).

The product of its digits is 10973491200, while the sum is 84.

The spelling of 35728898975616 in words is "thirty-five trillion, seven hundred twenty-eight billion, eight hundred ninety-eight million, nine hundred seventy-five thousand, six hundred sixteen".