880849728 has 336 divisors, whose sum is σ = 3017763840. Its totient is φ = 251942400.

The previous prime is 880849691. The next prime is 880849759. The reversal of 880849728 is 827948088.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3250233 + ... + 3250503.

It is an arithmetic number, because the mean of its divisors is an integer number (8981440).

Almost surely, 2^880849728 is an apocalyptic number.

880849728 is a gapful number since it is divisible by the number (88) 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 880849728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508881920).

880849728 is an abundant number, since it is smaller than the sum of its proper divisors (2136914112).

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

880849728 is a wasteful number, since it uses less digits than its factorization.

880849728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 880849728 is about 29679.1126551991. The cubic root of 880849728 is about 958.5923118569.

The spelling of 880849728 in words is "eight hundred eighty million, eight hundred forty-nine thousand, seven hundred twenty-eight".