495728032800 has 576 divisors, whose sum is σ = 2166515334144. Its totient is φ = 95084236800.

The previous prime is 495728032763. The next prime is 495728032801. The reversal of 495728032800 is 8230827594.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 495728032800.

It is not an unprimeable number, because it can be changed into a prime (495728032801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2299227 + ... + 2505573.

It is an arithmetic number, because the mean of its divisors is an integer number (3761311344).

Almost surely, 2^495728032800 is an apocalyptic number.

495728032800 is a gapful number since it is divisible by the number (40) 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 495728032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083257667072).

495728032800 is an abundant number, since it is smaller than the sum of its proper divisors (1670787301344).

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

495728032800 is a wasteful number, since it uses less digits than its factorization.

495728032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206401 (or 206388 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 495728032800 in words is "four hundred ninety-five billion, seven hundred twenty-eight million, thirty-two thousand, eight hundred".