38414628 has 192 divisors, whose sum is σ = 124992000. Its totient is φ = 10160640.

The previous prime is 38414617. The next prime is 38414633. The reversal of 38414628 is 82641483.

38414628 = 112³ + 113³ + ... + 132³.

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

It is a junction number, because it is equal to n+sod(n) for n = 38414592 and 38414601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 629718 + ... + 629778.

It is an arithmetic number, because the mean of its divisors is an integer number (651000).

Almost surely, 2^38414628 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 38414628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496000).

38414628 is an abundant number, since it is smaller than the sum of its proper divisors (86577372).

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

38414628 is a wasteful number, since it uses less digits than its factorization.

38414628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

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

The square root of 38414628 is about 6197.9535332237. The cubic root of 38414628 is about 337.4159000329.

The spelling of 38414628 in words is "thirty-eight million, four hundred fourteen thousand, six hundred twenty-eight".