10268628480 has 480 divisors, whose sum is σ = 40078291968. Its totient is φ = 2407219200.

The previous prime is 10268628467. The next prime is 10268628493. The reversal of 10268628480 is 8482686201.

10268628480 is a `hidden beast` number, since 10 + 2 + 6 + 8 + 628 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10268628467) and next prime (10268628493).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10268628480² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 7855987 + ... + 7857293.

Almost surely, 2^10268628480 is an apocalyptic number.

10268628480 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 10268628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20039145984).

10268628480 is an abundant number, since it is smaller than the sum of its proper divisors (29809663488).

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

10268628480 is a wasteful number, since it uses less digits than its factorization.

10268628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1359 counting only the distinct ones).

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

The spelling of 10268628480 in words is "ten billion, two hundred sixty-eight million, six hundred twenty-eight thousand, four hundred eighty".