902800728 has 160 divisors (see below), whose sum is σ = 2612554560. Its totient is φ = 291133440.

The previous prime is 902800727. The next prime is 902800739. The reversal of 902800728 is 827008209.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 902800692 and 902800701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (902800727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3331233 + ... + 3331503.

It is an arithmetic number, because the mean of its divisors is an integer number (16328466).

Almost surely, 2^902800728 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 902800728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306277280).

902800728 is an abundant number, since it is smaller than the sum of its proper divisors (1709753832).

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

902800728 is a wasteful number, since it uses less digits than its factorization.

902800728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 902800728 is about 30046.6425412225. The cubic root of 902800728 is about 966.4898561017.

The spelling of 902800728 in words is "nine hundred two million, eight hundred thousand, seven hundred twenty-eight".