361249728 has 224 divisors, whose sum is σ = 1175698944. Its totient is φ = 95551488.

The previous prime is 361249709. The next prime is 361249787. The reversal of 361249728 is 827942163.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 361249728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2216175 + ... + 2216337.

It is an arithmetic number, because the mean of its divisors is an integer number (5248656).

Almost surely, 2^361249728 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 361249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587849472).

361249728 is an abundant number, since it is smaller than the sum of its proper divisors (814449216).

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

361249728 is a wasteful number, since it uses less digits than its factorization.

361249728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 361249728 is about 19006.5706533293. The cubic root of 361249728 is about 712.2008859580.

The spelling of 361249728 in words is "three hundred sixty-one million, two hundred forty-nine thousand, seven hundred twenty-eight".