428453379809280 has 1512 divisors, whose sum is σ = 1794112301283588. Its totient is φ = 97929191227392.

The previous prime is 428453379809137. The next prime is 428453379809291. The reversal of 428453379809280 is 82908973354824.

428453379809280 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 5 + 337 + 9 + 8 + 0 + 9 + 280 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 351971218722816 + 76482161086464 = 18760896^2 + 8745408^2 .

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 428453379809199 and 428453379809208.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13168173172 + ... + 13168205708.

Almost surely, 2^{428453379809280} is an apocalyptic number.

428453379809280 is a gapful number since it is divisible by the number (40) 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 428453379809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897056150641794).

428453379809280 is an abundant number, since it is smaller than the sum of its proper divisors (1365658921474308).

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

428453379809280 is an frugal number, since it uses more digits than its factorization.

428453379809280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32606 (or 32554 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 428453379809280 in words is "four hundred twenty-eight trillion, four hundred fifty-three billion, three hundred seventy-nine million, eight hundred nine thousand, two hundred eighty".