428813379540 has 1920 divisors, whose sum is σ = 1844156160000. Its totient is φ = 82618195968.

The previous prime is 428813379523. The next prime is 428813379593. The reversal of 428813379540 is 45973318824.

It is a happy number.

428813379540 is a `hidden beast` number, since 4 + 2 + 88 + 13 + 3 + 7 + 9 + 540 = 666.

It is a super-2 number, since 2×428813379540² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 4818127816 + ... + 4818127904.

It is an arithmetic number, because the mean of its divisors is an integer number (960498000).

Almost surely, 2^428813379540 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 428813379540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922078080000).

428813379540 is an abundant number, since it is smaller than the sum of its proper divisors (1415342780460).

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

428813379540 is a wasteful number, since it uses less digits than its factorization.

428813379540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 171 counting only the distinct ones).

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

The spelling of 428813379540 in words is "four hundred twenty-eight billion, eight hundred thirteen million, three hundred seventy-nine thousand, five hundred forty".