1628262720 has 336 divisors, whose sum is σ = 6778556928. Its totient is φ = 350208000.

The previous prime is 1628262697. The next prime is 1628262731. The reversal of 1628262720 is 272628261.

1628262720 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 2 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 340345 + ... + 345095.

Almost surely, 2^1628262720 is an apocalyptic number.

1628262720 is a gapful number since it is divisible by the number (10) 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 1628262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389278464).

1628262720 is an abundant number, since it is smaller than the sum of its proper divisors (5150294208).

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

1628262720 is a wasteful number, since it uses less digits than its factorization.

1628262720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4798 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1628262720 is about 40351.7375090590. The cubic root of 1628262720 is about 1176.4536636467.

The spelling of 1628262720 in words is "one billion, six hundred twenty-eight million, two hundred sixty-two thousand, seven hundred twenty".