369901728 has 480 divisors, whose sum is σ = 1390435200. Its totient is φ = 94058496.

The previous prime is 369901627. The next prime is 369901733. The reversal of 369901728 is 827109963.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9997326 + ... + 9997362.

It is an arithmetic number, because the mean of its divisors is an integer number (2896740).

Almost surely, 2^369901728 is an apocalyptic number.

369901728 is a gapful number since it is divisible by the number (38) 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 369901728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695217600).

369901728 is an abundant number, since it is smaller than the sum of its proper divisors (1020533472).

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

369901728 is a wasteful number, since it uses less digits than its factorization.

369901728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 369901728 is about 19232.8294330293. The cubic root of 369901728 is about 717.8418710178.

The spelling of 369901728 in words is "three hundred sixty-nine million, nine hundred one thousand, seven hundred twenty-eight".