328051620 has 240 divisors, whose sum is σ = 1140929328. Its totient is φ = 78382080.

The previous prime is 328051519. The next prime is 328051637. The reversal of 328051620 is 26150823.

328051620 is a `hidden beast` number, since 32 + 8 + 0 + 5 + 1 + 620 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 49028004 + 279023616 = 7002^2 + 16704^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 779010 + ... + 779430.

Almost surely, 2^328051620 is an apocalyptic number.

328051620 is a gapful number since it is divisible by the number (30) 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 328051620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570464664).

328051620 is an abundant number, since it is smaller than the sum of its proper divisors (812877708).

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

328051620 is a wasteful number, since it uses less digits than its factorization.

328051620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 328051620 is about 18112.1953390526. The cubic root of 328051620 is about 689.6796244256.

It can be divided in two parts, 32805 and 1620, that multiplied together give a square (53144100 = 7290²).

The spelling of 328051620 in words is "three hundred twenty-eight million, fifty-one thousand, six hundred twenty".