728619840 has 336 divisors, whose sum is σ = 2788920000. Its totient is φ = 178993152.

The previous prime is 728619839. The next prime is 728619869. The reversal of 728619840 is 48916827.

728619840 is a `hidden beast` number, since 7 + 28 + 619 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1459911 + ... + 1460409.

Almost surely, 2^728619840 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 728619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394460000).

728619840 is an abundant number, since it is smaller than the sum of its proper divisors (2060300160).

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

728619840 is a wasteful number, since it uses less digits than its factorization.

728619840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 728619840 is about 26992.9590819532. The cubic root of 728619840 is about 899.8435283534.

The spelling of 728619840 in words is "seven hundred twenty-eight million, six hundred nineteen thousand, eight hundred forty".