379477728 has 144 divisors (see below), whose sum is σ = 1298344320. Its totient is φ = 102705408.

The previous prime is 379477717. The next prime is 379477729. The reversal of 379477728 is 827774973.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379477729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33351 + ... + 43257.

It is an arithmetic number, because the mean of its divisors is an integer number (9016280).

Almost surely, 2^379477728 is an apocalyptic number.

379477728 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 379477728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649172160).

379477728 is an abundant number, since it is smaller than the sum of its proper divisors (918866592).

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

379477728 is a wasteful number, since it uses less digits than its factorization.

379477728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9949 (or 9938 counting only the distinct ones).

The product of its digits is 4148928, while the sum is 54.

The square root of 379477728 is about 19480.1880894410. The cubic root of 379477728 is about 723.9836590636.

The spelling of 379477728 in words is "three hundred seventy-nine million, four hundred seventy-seven thousand, seven hundred twenty-eight".