62628480 has 192 divisors, whose sum is σ = 220540320. Its totient is φ = 16373760.

The previous prime is 62628479. The next prime is 62628481. The reversal of 62628480 is 8482626.

62628480 is a `hidden beast` number, since 626 + 28 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (62628479) and next prime (62628481).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×62628480² = 7844653014220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (62628481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478015 + ... + 478145.

Almost surely, 2^62628480 is an apocalyptic number.

62628480 is a gapful number since it is divisible by the number (60) 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 62628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110270160).

62628480 is an abundant number, since it is smaller than the sum of its proper divisors (157911840).

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

62628480 is a wasteful number, since it uses less digits than its factorization.

62628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 62628480 is about 7913.8157673780. The cubic root of 62628480 is about 397.1220092521.

The spelling of 62628480 in words is "sixty-two million, six hundred twenty-eight thousand, four hundred eighty".