10428626880 has 1344 divisors, whose sum is σ = 47929190400. Its totient is φ = 2145927168.

The previous prime is 10428626869. The next prime is 10428626939. The reversal of 10428626880 is 8862682401.

10428626880 is a `hidden beast` number, since 10 + 4 + 2 + 8 + 626 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 453418549 + ... + 453418571.

It is an arithmetic number, because the mean of its divisors is an integer number (35661600).

Almost surely, 2^10428626880 is an apocalyptic number.

10428626880 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 10428626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23964595200).

10428626880 is an abundant number, since it is smaller than the sum of its proper divisors (37500563520).

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

10428626880 is an equidigital number, since it uses as much as digits as its factorization.

10428626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 10428626880 in words is "ten billion, four hundred twenty-eight million, six hundred twenty-six thousand, eight hundred eighty".