828420350976 has 297 divisors, whose sum is σ = 2529638493291. Its totient is φ = 261082165248.

The previous prime is 828420350917. The next prime is 828420350981. The reversal of 828420350976 is 679053024828.

The square root of 828420350976 is 910176.

It is a perfect power (a square), and thus also a powerful number.

828420350976 is a `hidden beast` number, since 8 + 28 + 42 + 0 + 3 + 509 + 76 = 666.

It is a super-2 number, since 2×828420350976² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1660160775 + ... + 1660161273.

Almost surely, 2^828420350976 is an apocalyptic number.

828420350976 is the 910176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828420350976

828420350976 is an abundant number, since it is smaller than the sum of its proper divisors (1701218142315).

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

828420350976 is an equidigital number, since it uses as much as digits as its factorization.

828420350976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

It can be divided in two parts, 828420 and 350976, that added together give a square (1179396 = 1086²).

The spelling of 828420350976 in words is "eight hundred twenty-eight billion, four hundred twenty million, three hundred fifty thousand, nine hundred seventy-six".